Abstract
Quantum communication scheme can play an important role in quantum teleportation. In this paper, an improved asymmetric scheme for bidirectional controlled quantum teleportation of special three-qubit entangled state by using the nine-qubit entangled state as a quantum channel is presented theoretically. In this scheme, two distant parties, Annie and Ben, are both senders and receivers. While Annie wants to send a special three-qubit entangled state to Ben, Ben wishes to transmit another special three-qubit entangled state back to Annie. This scheme only requires the Von Neumann type measurements, controlled-not (CNOT) operations and appropriate unitary operations. By introducing the appropriate unitary transformation and auxiliary particles, Annie and Ben may reconstruct the initial state to achieve quantum teleportation successfully.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Data Availability
All data generated or used during the study appear in the submitted articles.
References
Bennett, C.H., Brassard, G., Crepeau, C., et al.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)
Bouwmeester, D., Pan, J.W., Mattle, K., et al.: Experimental quantum teleportation. Nature 390, 575 (1997)
Zhao, Z., Chen, Y.A., Zhang, A.N., et al.: Experimental demonstration of five-photon entanglement and open-destination teleportation. Nature 430, 54 (2004)
Riebe, M., Hӓffner, H., Roos, C.F., et al.: Deterministic quantum teleportation with atoms. Nature 429, 734 (2004)
Hugo, B., Shuntaro, T., Noriyuki, L., et al.: Quantum teleportation of nonclassical wave packets: An effective multimode theory. Phys. Rev. A 84, 012308 (2011)
Xia, Y., Song, J., Lu, P.M., et al.: Controlled teleportation of a multi-photon GHZ polarization-entangled state using linear optical elements. Eur. Phys. J. D 61, 493 (2011)
Yang, L., Liu, Y.C., Li, Y.S.: Quantum teleportation of particles in an environment Chin. Phys. B 29, 060301 (2020)
Hassanpour, S., Houshmand, M.: Bidirectional teleportation of a pure EPR state by using GHZ states. Quantum Inf. Process. 15, 905 (2016)
Choudhury, B.S., Dhara, A.: A bidirectional teleportation protocol for arbitrary two-qubit state under the supervision of a third party. Int. J. Theor. Phys. 55, 2275 (2016)
Li, Y.H., Nie, L.P., Li, X.L., et al.: Asymmetric bidirectional controlled teleportation by using six-qubit cluster state. Int. J. Theor. Phys. 55, 3008 (2016)
Sang, M.H.: Bidirectional quantum controlled teleportation by using a seven-qubit entangled state Int. J. Theor. Phys. 55, 380 (2016)
Ma, P.C., Chen, G.B., Li, X.W., et al.: Bidirectional controlled quantum teleportation in the three-dimension system. Int. J. Theor. Phys. 57, 2233 (2018)
Zha, X.W., Zou, Z.C., Qi, J.X., et al.: Bidirectional quantum controlled teleportation via five-qubit cluster state. Int. J. Theor. Phys. 52, 1740 (2013)
Duan, Y.J., Zha, X.W.: Bidirectional quantum controlled teleportation via a six-qubit entangled state. Int. J. Theor. Phys. 53, 3780 (2014)
Li, Y.H., Jin, X.M.: Bidirectional controlled teleportation by using nine-qubit entangled state in noisy environments. Quantum Inf. Process. 15, 929 (2016)
Zhou, R.G., Li, X., Qian, C., et al.: Quantum bidirectional teleportation 2 ↔ 2 or 2 ↔ 3 qubit teleportation protocol via 6-qubit entangled state. Int. J. Theor. Phys. 59, 166 (2020)
Jiang, Y.L., Zhou, R.G., Hao, D.Y., et al.: Bidirectional controlled quantum teleportation of three-qubit state by a new entangled eleven-qubit state. Int. J. Theor Phys. 60, 3618 (2021)
O’Brien, J.L., Pryde, G.L., White, A.G., et al.: Demonstration of an all-optical quantum controlled-NOT gate. Nature 426, 264 (2003)
Che, J.L., Zhao, P.L., Wen, F.: Construct new form of maximally nine-qubit entangled state via recurrence relation. Int. J. Theor. Phys. 59, 3979 (2020)
Acknowledgements
This work was supported by the Education Department of Henan Province of China (No. 21A140030), Key R&D and promotion projects in Henan Province (232102311049).
Author information
Authors and Affiliations
Contributions
Haoxian Zeng and Xuehua Zhang wrote the main manuscript text. Junlan Feng and Chunsheng Yang provide equation calculation and formal analysis. All authors have reviewed and agreed to the published version of the manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
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
Zhang, X., Jin, W., Zeng, H. et al. Cost-Effective Bidirectional Controlled Quantum Teleportation Scheme by Using Nine-Qubit Entangled State. Int J Theor Phys 62, 95 (2023). https://doi.org/10.1007/s10773-023-05360-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10773-023-05360-6