Abstract
In this paper, we propose a mesh-topology-based multi-hop teleportation scheme for a quantum network. By using the proposed scheme, quantum communication can be realized between two arbitrary nodes, even when they do not share a direct quantum channel. Einstein–Podolsky–Rosen pairs are used as quantum channels. The source node (initial sender) and all intermediate nodes make Bell measurements independently. They send the results to the destination node (final receiver) by classical channels. The quantum state can be determined from the Bell measurement result, and only the destination node is required for simple unitary transformation. This method of simultaneous measurement contributes significantly to quantum network by reducing the hop-by-hop transmission delay.
Similar content being viewed by others
References
I. F. Akyildiz, X. D. Wang, and W. L. Wang, Wireless mesh networks: A survey, Comput. Netw. 47(4), 445 (2005)
I. F. Akyildiz and X. D. Wang, A survey on wireless mesh networks, IEEE Communications Magazine 43(S), S23 (2005)
Y. Cao, X. T. Yu, and Y. X. Cai, Wireless Quantum Communication Networks with Mesh Structure, Third International Conference on Information Science and Technology, 1485 (2013)
P. Y. Xiong, X. T. Yu, Z. C. Zhang, H. T. Zhan, and J. Y. Hua, Routing protocol for wireless quantum multihop mesh backbone network based on partially entangled GHZ state, Front. Phys. 12(4), 120302 (2017)
C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels, Phys. Rev. Lett. 70(13), 1895 (1993)
D. Bouwmeester, J. W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, Experimental quantum teleportation, Nature 390(6660), 575 (1997)
K. Wang, X. T. Yu, S. L. Lu, and Y. X. Gong, Quantum wireless multihop communication based on arbitrary Bell pairs and teleportation, Phys. Rev. A 89(2), 022329 (2014)
H. T. Zhan, X. T. Yu, P. Y. Xiong, and Z. C. Zhang, Multi-hop teleportation based on W state and EPR pairs, Chin. Phys. B 25(5), 050305 (2016)
Z. Z. Zou, X. T. Yu, Y. X. Gong, and Z. C. Zhang, Multihop teleportation of two-qubit state via the composite GHZ–Bell channel, Phys. Lett. A 381(2), 76 (2017)
Z. Y. Guo, X. X. Shang, J. X. Fang, and R. H. Xiao, Controlled teleportation of an arbitrary two-particle state by one EPR pair and cluster state, Commum. Theor. Phys. 56(5), 819 (2011)
F. L. Yan and G. H. Zhang, Remote preparation of the two-particle state, Int. J. Quant. Inf. 06(03), 485 (2008)
Z. L. Cao and W. Song, Teleportation of a two-particle entangled state via W class states, Physica A 347, 177 (2005)
H. Y. Dai, P. X. Chen, and C. Z. Li, Probabilistic teleportation of an arbitrary two-particle state by a partially entangled three-particle GHZ state and W state, Opt. Commun. 231(1–6), 281 (2004)
M. Cao, S. Q. Zhu, and J. X. Fang, Teleportation of n-particle state via n pairs of EPR channels, Commum. Theor. Phys. 41(5), 689 (2004)
F. L. Yan and X. Q. Zhang, A scheme for secure direct communication using EPR pairs and teleportation, Eur. Phys. J. B 41(1), 75 (2004)
S. Lloyd, M. S. Shahriar, J. H. Shapiro, and P. R. Hemmer, Long distance, unconditional teleportation of atomic states via complete Bell state measurements, Phys. Rev. Lett. 87(16), 167903 (2001)
S. L. Braunstein, and A. Mann, Measuremnent of the Bell operator and quantum teleportation, Phys. Rev. A 51(3), R1727 (1995)
N. Lütkenhaus, J. Calsamiglia, and K. A. Suominen, Bell measurements for teleportation, Phys. Rev. A 59(5), 3295 (1999)
Y. H. Kim, S. P. Kulik, and Y. Shih, Quantum teleportation of a polarization state with a complete Bell state measurement, Phys. Rev. Lett. 86(7), 1370 (2001)
X. Q. Gao, Z. C. Zhang, Y. X. Gong, B. Sheng, and X. T. Yu, Teleportation of entanglement using a threeparticle entangled W state, J. Opt. Soc. Am. B 34(1), 142 (2017)
Acknowledgements
The authors want to thank Prof. T. C. Poon of Virginia Tech for his comments and suggestions. The authors also want to thank Prof. Jian Dang of Southeast University for his suggestions. This work was supported by the Hong Kong, Macao, and Taiwan Science & Technology Cooperation Program of China (Grant No. 2016YFE0123100), the National Natural Science Foundation of China (NSFC) (Grant No. 61372100), the Fundamental Research Funds for the Central Universities and Postgraduate Research & Practice Innovation Program of Jiangsu Province (No. KYLX16 0225), and the Scientific Research Foundation of Graduate School of Southeast University (No. YBJJ1710).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gao, XQ., Zhang, ZC. & Sheng, B. Multi-hop teleportation in a quantum network based on mesh topology. Front. Phys. 13, 130314 (2018). https://doi.org/10.1007/s11467-018-0766-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11467-018-0766-2