Abstract
In this article, we first propose a quantum teleportation protocol to teleport the arbitrary quantum states via an arbitary quantum entanglement states. We find the projection base which Alice use to project her quantum states by quantum Fourier transform.According to the principle of quantum mechanics, we derive the unitary operations which Bob needs to do. The Unitary operations make the qubits which Bob holds become the states which Alice want to teleport. Compare to other protocols, we show that our protocol can solve more general problems and can be used in more complex situations. Our method of finding the projective basis is universal and convenient, and it could have potential application in the future.
Similar content being viewed by others
References
Nielsen, M.A., Chuang, I.: Quantum computation and quantum information (2002)
Duan, L.-M., Lukin, M., Cirac, J.I., Zoller, P.: Long-distance quantum communication with atomic ensembles and linear optics. Nature 414(6862), 413 (2001)
Bennett, C.H., Brassard, G.: Quantum public key distribution system. IBM Technical Disclosure Bulletin 28(7), 3153–3163 (1985)
Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59(1), 162 (1999)
Mattle, K., Weinfurter, H., Kwiat, P.G., Zeilinger, A.: Dense coding in experimental quantum communication. Phys. Rev. Lett. 76(25), 4656 (1996)
Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. Rev. Mod. Phys. 81(2), 865 (2009)
Caleffi, M., Cacciapuoti, A.S., Bianchi, G.: Quantum internet: from communication to distributed computing! arXiv:1805.04360 (2018)
Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and einstein-podolsky-rosen channels. Phys. Rev. Lett. 70(13), 1895 (1993)
Bouwmeester, D., Pan, J.-W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390(6660), 575 (1997)
Zhang, B., Liu, X.-t., Wang, J., Tang, C.-j.: Quantum teleportation of an arbitrary n-qubit state via ghz-like states. Int. J. Theor. Phys. 55(3), 1601–1611 (2016)
Gao, C., Ma, S.Y., Chen, W.L.: Controlled remote preparation via the brown state with no restriction. Int. J. Theor. Phys. 55(5), 2643–2652 (2016)
Chen, X.-B., Ma, S.-Y., Su, Y., Zhang, R., Yang, Y.-X.: Controlled remote state preparation of arbitrary two and three qubit states via the brown state. Quantum Inf. Process 11(6), 1653–1667 (2012)
Caleffi, M.: Optimal routing for quantum networks. IEEE Access 5, 22299–22312 (2017)
Simon, C.: Towards a global quantum network. Nat. Photonics 11 (11), 678 (2017)
Shor, P.W.: Algorithms for quantum computation: Discrete logarithms and factoring. In: Proceedings 35th Annual Symposium on Foundations of Computer Science. Ieee, pp 124–134 (1994)
Song, D., He, C., Cao, Z., Chai, G.: Quantum teleportation of multiple qubits based on quantum fourier transform. IEEE Commun. Lett. 22(12), 2427–2430 (2018)
Barenco, A., Bennett, C.H., Cleve, R., DiVincenzo, D.P., Margolus, N., Shor, P., Sleator, T., Smolin, J.A., Weinfurter, H.: Elementary gates for quantum computation. Phys. Rev. A 52(5), 3457 (1995)
Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the einstein-podolsky-rosen pair block. Phys. Rev. A 68(4), 113–114 (2003)
Hu, J., Yu, B., Jing, M., Xiao, L., Jia, S., Qin, G., Long, G.: Experimental quantum secure direct communication with single photons (2015)
Acknowledgements
This work was supported in part by the National Natural Science Foundation of China under Grant 61701401, the New Star Program of Science and Technology in Shaanxi Province under Grant 2019KJXX-061, the Natural Science Foundation of Shaanxi Province 2019JM-591, the National Natural Science Foundation youth Program: 61801385, the Natural Science Foundation of Shaanxi Province 2020JQ-602 and the Postdoctoral General Fund 221628
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
About this article
Cite this article
Cao, Z., Zhang, C., He, C. et al. Quantum Teleportation Protocol of Arbitrary Quantum States by Using Quantum Fourier Transform. Int J Theor Phys 59, 3174–3183 (2020). https://doi.org/10.1007/s10773-020-04570-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-020-04570-6