Abstract
Controlled quantum teleportation schemes require the existence of a third party acting as a teleportation controller, so that without its cooperation, quantum information of the unknown state cannot be transmitted. Here, we propose a new controlled quantum teleportation scheme to perfectly transmit an arbitrary entangled three-qubit state. In this scheme, quantum information of unknown three-qubit arbitrary state is transmitted from Alice, the sender to Bob, the remote receiver via a quantum channel consisting of two GHZ entangled states and a Bell entangled state under the supervision of Charlie, the controller. Bob can then recover the desired three-qubit arbitrary state by performing appropriate unitary Pauli transformations, and we find that our protocol works perfectly. This scheme could be quite easily extended to accurately teleport an unknown N-qubit state from Alice to Bob under Charlie’s control, using (N − 1) GHZ entangled states and a Bell entangled state.
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References
C. H. Bennett, G. Brassard, C. Crepeau, et al., Phys. Rev. Lett., 70, 1895 (1993).
G. Brassard, R. Cleve, and A. Tapp, Phys. Rev. Lett., 83, 1874 (1999).
A. Slaoui, M. Daoud, and R. Ahl Laamara, Quantum Inf. Process., 18, 250 (2019).
L. Vaidman, Phys. Rev. A, 49, 1473 (1994).
Y. Yeo and W. K. Chua, Phys. Rev. Lett., 96, 060502 (2006).
X. W. Zha and H. Y. Song, Phys. Lett. A, 369, 377 (2007).
P. Espoukeh and P. Pedram, Quantum Inf. Process., 13, 1789 (2014).
R. Valivarthi, M. Puigibert, Q. Zhou, et al., Nat. Photonics, 10, 676 (2016).
P. Agrawal and A. K. Pati, Phys. Lett. A, 305, 12 (2002).
H. Y. Dai, P. X. Chen, and C. Z. Li, Opt. Commun., 231, 281 (2004).
M. El Kirdi, A. Slaoui, H. El Hadfi, and M. Daoud, “Improving the probabilistic quantum teleportation efficiency of arbitrary superposed coherent state using multipartite even and odd j-spin coherent states as resource,” arXiv: 2202.08591 (2022).
M. Riebe, H. Haffner, C. F. Roos, et al, Nature, 429, 734 (2004).
D. Bouwmeester, J. W. Pan, K. Mattle, et al., Nature, 390, 575 (1997).
M. D. Barrett, J. Chiaverini, T. Schaetz, et al., Nature, 429, 737 (2004).
D. Boschi, S. Branca, F. De Martini, et al., Phys. Rev. Lett., 80, 1121 (1998).
X. S. Ma, T. Herbst, T. Scheidl, et al., Nature, 489, 269 (2012).
N. Gisin and R. Thew, Nat. Photonics, 1, 165 (2007).
A. Steane, Rep. Prog. Phys., 61, 117 (1998).
A. Karlsson and M. Bourennane, Phys. Rev. A, 58, 4394 (1998).
P. van Loock and S. L. Braunstein, Phys. Rev. Lett., 84, 3482 (2000).
H. J. Kimble, Nature, 453, 1023 (2008).
S. Pirandola and S. L. Braunstein, Nature, 532, 169 (2016).
R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys., 81, 865 (2009).
G. Ting, Y. Feng-Li, and W. Zhi-Xi, Chinese Phys., 14, 893 (2005).
X. Xiao-Ming, D. Li, G. Ya-Jun, and C. Feng, Commun. Theor. Phys., 48, 261 (2007).
Z. You-Bang, Chinese Phys., 16, 2557 (2007).
J. Dong and J. F. Teng, Eur. Phys. J. D, 49, 129 (2008).
Y. Jie and L. Jun, Commun. Theor. Phys., 49, 338 (2008).
X. Li and F. Deng, Front. Comput. Sci. China, 2, 147 (2008).
X. B. Chen, G. Xu, Y. X. Yang, and Q. Y. Wen, Opt. Commun., 283, 4802 (2010).
T. Y. Wang and Q. Y. Wen, Chinese Phys. B, 20, 04037 (2011).
A. Pathak and A. Banerjee, Int. J. Quantum Inf., 9, 389 (2011).
C. Na, Q. Dongxiao, Y. Hong, and P. Changxing, J. China Univ. Posts Telecommun., 22, 45 (2015).
V. Verma and H. Prakash, Int. J. Theor. Phys., 55, 2061 (2016).
J. Y. Peng, M. Q. Bai, and Z. W. Mo, Int. J. Theor. Phys., 56, 3348 (2017).
Z. Shao and Y. Long, Int. J. Theor. Phys., 58, 1957 (2019).
J. Chen, D. Li, M. Liu, et al., Int. J. Theor. Phys., 59, 1402 (2020).
A. Kumar, S. Haddadi, M. R. Pourkarimi, et al., Sci. Rep., 10, 1 (2020).
J. Heo, C. H. Hong, M. S. Kang, et al., Sci. Rep., 7, 1 (2017).
M. El Kirdi, A. Slaoui, N. Ikken, et al., Phys. Scr., 98, 025101 (2023).
Y. H. Li and L. P. Nie, Int. J. Theor. Phys., 52, 1630 (2013).
M. S. S. Zadeh, M. Houshmand, and H. Aghababa, Int. J. Theor. Phys., 57, 175 (2018).
S. Hassanpour and M. Houshmand, Quantum Inf. Process., 15, 905 (2016).
A. Wehrl, Rev. Mod. Phys., 50, 221 (1978).
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Kirdi, M.E., Slaoui, A., Hadfi, H.E. et al. Efficient Quantum Controlled Teleportation of an Arbitrary Three-Qubit State Using Two GHZ Entangled States and One Bell Entangled State. J Russ Laser Res 44, 121–134 (2023). https://doi.org/10.1007/s10946-023-10115-z
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DOI: https://doi.org/10.1007/s10946-023-10115-z