Abstract
A teleportation protocol for certain class of ten-qubit state by utilizing an eight-qubit entangled state as a quantum channel has been proposed. In this paper, we present an optimal scheme for the teleportation of a ten-qubit state by using a stochastic local operation and classical communication(SLOCC) equivalent to four-qubit χ state as entanglement channel. Only von Neumann type measurement, controlled-not (CNOT) operations and appropriate unitary operations are needed in this scheme. Receiver Bob can reconstruct the initial state by introducing the appropriate unitary transformation and auxiliary particles.
Similar content being viewed by others
References
Bouwmeester, D., Pan, J.W., Daniell, M., Weinfurter, H., Zeilinger, A.: Observation of three-photon Greenberger-Horne-Zeilinger entanglement. Phys. Rev. Lett. 82, 1345–1349 (1999)
Pan, J.W., Bouwmeester, D., Daniell, M., Weinfurter, H., Zeilinger, A.: Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement. Nature. 403, 515–519 (2000)
Huang, J.S., Oh, C.H., Wei, L.F.: Testing tripartite Mermin inequalities by spectral joint measurements of qubits. Phys. Rev. A. 83, 062108 (2011)
Bennett, C.H., DiVincenzo, D.P., Shor, P.W., Smolin, J.A., Terhal, B.M., Wootters, W.: K: erratum: remote state preparation. Phys. Rev. Lett. 87, 077902 (2001)
Deng, F.G., Li, C.Y., Li, Y.S., Zhou, H.Y., Wang, Y.: Symmetric multiparty- controlled teleportation of an arbitrary two-particle entanglement. Phys. Rev. A. 72(2), 022338 (2005)
Rigolin, G.: Quantum teleportation of an arbitrary two qubit state and its relation to multipartite entanglement. Phys. Rev. A. 71(3), 032303 (2005)
Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Multiparty quantum state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs. Phys. Rev. A. 72(4), 044301 (2005)
Zhang, Z.: Controlled teleportation of an arbitrary n-qubit quantum information using quantum secret sharing of classical message. Phys. Lett. A. 352(1), 55–58 (2006)
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), 042317 (2003)
Wang, C., Deng, F.G., Li, Y.S., Liu, X.S., Long, G.L.: Quantum secure direct communication with high-dimension quantum superdense coding. Phys. Rev. A. 71(4), 044305 (2005)
Gu, B., Zhang, C.Y., Cheng, G.S., Huang, Y.G.: Robust quantum secure direct communication with a quantum one-time pad over a collective-noise channel. Sci. China Phys. Mech. Astron. 54(5), 942–947 (2011)
Chang, Y., Xu, C.X., Zhang, S.B., Yan, L.L.: Quantum secure direct communication and authentication protocol with single photons. Chin. Sci. Bull. 58(36), 4571–4576 (2013)
Bennett, C.H., Brassard, G., Mermin, N.D.: Quantum cryptography without Bell's theorem. Phys. Rev. Lett. 68(5), 557–559 (1992)
Deng, F.G., Long, G.L.: Controlled order rearrangement encryption for quantum key distribution. Phys. Rev. A. 68(4), 042315 (2003)
Hwang, W.Y.: Quantum key distribution with high loss: toward global secure communication. Phys. Rev. Lett. 91(5), 057901 (2003)
Deng, F.G., Long, G.L.: Bidirectional quantum key distribution protocol with practical faint laser pulses. Phys. Rev. A. 70(1), 012311 (2004)
Wang, X.B.: Beating the PNS attack in practical quantum cryptography. Phys. Rev. Lett. 94(23), 230503 (2005)
Lo, H.K., Ma, X., Chen, K.: Decoy state quantum key distribution. Phys. Rev. Lett. 94(23), 230504 (2005)
Gorbachev, V.N., Trubilko, A.I.: Quantum teleportation of an Einstein-Podolsy- Rosen pair using an entangled three-particle state. J. Exp. Theor. Phys. 91, 894–898 (2000)
Wang, Y.H., Yu, C.S., Song, H.S.: Teleportation of an arbitrary multipartite GHZ-class state by one EPR pair. Chin. Phys. Lett. 23, 3142 (2006)
Wang, X.W., Wang, Z.Y., Xia, L.X.: Scheme for teleportation of a multipartite quantum state by using a single entangled pair as quantum channel. Commun. Theor. Phys. 47, 257 (2007)
Pathak, A., Banerjee, A.: Efficient quantum circuits for perfect and controlled teleportation of n-qubit non-maximally entangled states of generalized bell-type. Int. J. Quantum Inf. 9, 389–403 (2011)
Zhao, N., Li, W.D.: Quantum teleportation of ten-qubit state based on the cluster state quantum channel. Int. J. Theor. Phys. 59, 2147–2154 (2020)
Zha, X.W., Duan, Y.J., Qi, J.X., Song, H.Y., Zhang, Y.G.: Simple forms of Slocc equivalent four-qubit χ state. Int. J. Theor. Phys. 54, 2236–2239 (2015)
Acknowledgments
This work is supported by the Natural Science Foundation of Shaanxi Province, China [grant no. 2020JQ-840], Scientific Research Program Funded by Shaanxi Provincial Education Department [grant no.20JK0907], the National Natural Science Foundation of China [grant no. 11947127].
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Competing Interests
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
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, Y. & Qi, J. Optimal Schemes for Quantum Teleportation of Ten-Qubit State. Int J Theor Phys 60, 2995–3002 (2021). https://doi.org/10.1007/s10773-021-04875-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-021-04875-0