Abstract
Recently, Ri-Gui Zhou et al. [Int. J. Theor. Phys. 59, 166–172 (2020)] proposed a scheme for bidirectional quantum teleportation of two\(\leftrightarrow \)two and two\(\leftrightarrow \)three qubit states by utilizing a six-qubit entangled state as a quantum channel. It is observed that the intrinsic efficiency calculated by Zhou et al. is not correct. In this improved scheme, we show that bidirectional teleportation of two\(\leftrightarrow \)two and two\(\leftrightarrow \)three qubit quantum states can be done by using optimized quantum resource and less consumption of classical resource. We also calculate the intrinsic efficiency of our improved scheme which is much better than the Zhou’s scheme. Additionally, we also discuss about the security of the protocol.
Similar content being viewed by others
References
Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolosky-Rosen. Phys. Rev. Lett. 70, 1895 (1993)
Gordon, G., Rigolin, G.: Generalized teleportation protocol. Phys. Rev. A 73, 042309 (2006)
Karimipour, V., Rad, M.S., Asoudeh, M.: Perfect quantum state transfer in two-and three-dimensional structures. Phys. Rev. A 85, 010302 (2012)
Dik, B., Pan, J.-W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390, 575 (1997)
Yin, J., Ren, J.-G., He, Lu., Cao, Y., Yong, H.-L., Yu-Ping, Wu., Liu, C., Liao, S. -K., Zhou, F., Jiang, Y., Cai, X.-D., Ping, X.u., Pan, G.-S., Jia, J.-J., Huang, Y.-M., Yin, H., Wang, J.-Y., Chen, Y.-A., Peng, C.-Z., Pan, J.-W.: Quantum teleportation and entanglement distribution over 100-kilometre free-space channels. Nature 488, 185 (2012)
Ma, X.S., Herbst, T., Scheidl, T., Wang, D., Kropatschek, S., Naylor, W., Wittmann, B., Mech, A., Kofler, J., Anisimova, E., Makarov, V.: Quantum teleportation over 143 kilometres using active feed-forward. Nature 489, 269 (2012)
Sisodia, M., Shukla, A., Thapliyal, K., Pathak, A.: Design and experimental realization of an optimal scheme for teleportation of an n-qubit quantum state. Quantum Inf. Process. 16, 1 (2017)
Salimian, S., Tavassoly, M.K., Sehati, N.: Teleportation of the entangled state of two superconducting qubits. Europhys Lett. 138, 55004 (2022)
Sherson, J.F., Krauter, H., Olsson, R.K., Julsgaard, B., Hammerer, K., Cirac, I., Polzik, E.S.: Quantum teleportation between light and matter. Nature 443, 557 (2006)
Kazemikhah, P., Aghababa, H.: Bidirectional quantum teleportation of an arbitrary number of qubits by using four qubit cluster state. Int. J. Theor. Phys. 60, 378 (2021)
Zhou, R.G., Xu, R., Lan, H.: Bidirectional quantum teleportation by using six-qubit cluster state. IEEE Access 7, 44269 (2019)
Verma, V., Sisodia, M.: Two-way \({\leftrightarrow }\) quantum communication using four-qubit cluster state: mutual exchange of quantum information. Mod. Phys. Lett. 37, 2250020 (2022)
Sisodia, M.: An optimized bidirectional quantum Teleportation scheme with the use of Bell states. Int. J. Theor. Phys. 61, 1 (2022)
Choudhury, B.S., Samanta, S.: Asymmetric bidirectional quantum state exchange between Alice and Bob through a third party. Optik 231, 166435 (2021)
Sadeghi Zadeh, M.S., Houshmand, M., Aghababa, H.: Bidirectional teleportation of a two-Qubit state by using eight-Qubit entangled state as a Quantum Channel. Int. J. Theor. Phys. 56, 2101 (2017)
Zhou, R.G., Li, X., Qian, C., Ian, H.: Quantum bidirectional teleportation 2 \({\leftrightarrow }\)2 or 2 \({\leftrightarrow }\)3 Qubit teleportation protocol via 6-Qubit entangled state. Int. J. Theor. Phys. 59, 166 (2020)
Gao, T., Yan, F.L., Li, Y.C.: Optimal controlled teleportation. EPL 84, 50001 (2008)
Yang, C.P., Chu, S.I., Han, S.: Efficient many-party controlled teleportation of multiqubit quantum information via entanglement. Phys. Rev. A. 70, 022329 (2004)
Hou, K., Bao, D.Q., Zhu, C.J., Yang, Y.P.: Controlled teleportation of an arbitrary two-qubit entanglement in noises environment. Quantum Inf. Process. 18, 1 (2019)
Song-Song, L., Yi-You, N., Zhi-Hui, H., Xiao-Jie, Y., Yi-Bin, H.: Controlled teleportation using four-particle cluster state. Commun. Theor. Phys. 50, 633 (2008)
Mafi, Y., Kazemikhah, P., Ahmadkhaniha, A., Aghababa, H., Kolahdouz, M.: Bidirectional quantum teleportation of an arbitrary number of qubits over a noisy quantum system using 2n Bell states as quantum channel. Opt. Quantum Electron. 54, 1 (2022)
Ramírez, M.D.G., Falaye, B.J., Sun, G.H., Cruz-Irisson, M., Dong, S.H.: Quantum teleportation and information splitting, via four-qubit cluster state and a Bell state. Front. Phys. 12, 1 (2017)
Meiling, Z., Sha, S., Yuanhua, L., Qingji, Z., Yunjiang, W.: Comment on quantum teleportation and information splitting via four-qubit cluster state and a Bell state Quant-ph (2018)
Chen, J., Li, D., Liu, M., Yang, Y., Zhou, Q.: Quantum controlled teleportation of bell state using seven-qubit entangled state. Int. J. Theor. Phys. 59, 1402 (2020)
Huo, G.W., Zhang, T.Y., Zha, X.W., Zhang, M.Z.: Controlled asymmetric bidirectional hybrid of remote state preparation and quantum teleportation. Int. J. Theor. Phys. 59, 331 (2020)
Jiang, S.X., Zhou, R.G., Luo, G., Liang, X., Fan, P.: Controlled bidirectional quantum Teleportation of arbitrary single Qubit via a non-maximally entangled state. Int. J. Theor. Phys. 59, 2966 (2020)
Kazemikhah, P., Tabalvandani, M.B., Mafi, Y., Aghababa, H.: Asymmetric bidirectional controlled quantum teleportation using eight qubit cluster state. Int. J. Theor. Phys. 61, 1 (2022)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Sisodia, M. Improvement on Quantum Bidirectional Teleportation Scheme of \(\text {two}\leftrightarrow \) two or \(\text {two}\leftrightarrow \) Three Qubit Quantum States. Int J Theor Phys 62, 63 (2023). https://doi.org/10.1007/s10773-023-05315-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10773-023-05315-x