Routing protocol for wireless quantum multi-hop mesh backbone network based on partially entangled GHZ state
Pei-Ying Xiong, Xu-Tao Yu, Zai-Chen Zhang, Hai-Tao Zhan, Jing-Yu Hua
Routing protocol for wireless quantum multi-hop mesh backbone network based on partially entangled GHZ state
Quantum multi-hop teleportation is important in the field of quantum communication. In this study, we propose a quantum multi-hop communication model and a quantum routing protocol with multihop teleportation for wireless mesh backbone networks. Based on an analysis of quantum multi-hop protocols, a partially entangled Greenberger–Horne–Zeilinger (GHZ) state is selected as the quantum channel for the proposed protocol. Both quantum and classical wireless channels exist between two neighboring nodes along the route. With the proposed routing protocol, quantum information can be transmitted hop by hop from the source node to the destination node. Based on multi-hop teleportation based on the partially entangled GHZ state, a quantum route established with the minimum number of hops. The difference between our routing protocol and the classical one is that in the former, the processes used to find a quantum route and establish quantum channel entanglement occur simultaneously. The Bell state measurement results of each hop are piggybacked to quantum route finding information. This method reduces the total number of packets and the magnitude of air interface delay. The deduction of the establishment of a quantum channel between source and destination is also presented here. The final success probability of quantum multi-hop teleportation in wireless mesh backbone networks was simulated and analyzed. Our research shows that quantum multi-hop teleportation in wireless mesh backbone networks through a partially entangled GHZ state is feasible.
wireless mesh backbone network / multi-hop teleportation / partially entangled GHZ state / quantum routing protocol
[1] |
C. H. Bennett, G. Brassard, C. Crepeau, 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)
CrossRef
ADS
Google scholar
|
[2] |
D. Bouwmeester, J. W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, Experimental quantum teleportation, Nature 390(6660), 575 (1997)
CrossRef
ADS
Google scholar
|
[3] |
D. Bouwmeester, K. Mattle, J. W. Pan, H. Weinfurter, A. Zeilinger, and M. Żukowski, Experimental quantum teleportation of arbitrary quantum states, Appl. Phys. B 67(6), 749 (1998)
CrossRef
ADS
Google scholar
|
[4] |
M. Żukowski, A. Zeilinger, M. A. Horne, and A. K. Ekert, “Event-ready-detectors” Bell experiment via entanglement swapping, Phys. Rev. Lett. 71(26), 4287 (1993)
CrossRef
ADS
Google scholar
|
[5] |
J. W. Pan, D. Bouwmeester, H. Weinfurter, and A. Zeilinger, Experimental entanglement swapping: Entangling photons that never interacted, Phys. Rev. Lett. 80(18), 3891 (1998)
CrossRef
ADS
Google scholar
|
[6] |
Y. B. Sheng, L. Zhou, and S. M. Zhao, Efficient twostep entanglement concentration for arbitrary W states, Phys. Rev. A 85(4), 042302 (2012)
CrossRef
ADS
Google scholar
|
[7] |
G. Gour, Faithful teleportation with partially entangled states, Phys. Rev. A 70(4), 042301 (2004)
CrossRef
ADS
Google scholar
|
[8] |
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)
CrossRef
ADS
Google scholar
|
[9] |
Y. H. Wang and H. S. Song, Preparation of partially entangled W state and deterministic multi-controlled teleportation, Opt. Commun. 281(3), 489 (2008)
CrossRef
ADS
Google scholar
|
[10] |
Z. Kurucz, M. Koniorczyk, and J. Janszky, Teleportation with partially entangled states, Fortschr. Phys. 49(10–11), 1019 (2001)
CrossRef
ADS
Google scholar
|
[11] |
D. P. Tian, Y. J. Tao, and M. Qin, Teleportation of an arbitrary two-qudit state based on the non-maximally four-qudit cluster state, Sci. China Ser. G-Phys. Mech. Astron. 51(10), 1523 (2008)
CrossRef
ADS
Google scholar
|
[12] |
N. B. An, Probabilistic teleportation of an M-quNit state by a single non-maximally entangled quNit-pair, Phys. Lett. A 372(21), 3778 (2008)
CrossRef
ADS
Google scholar
|
[13] |
G. Rigolin, Unity fidelity multiple teleportation using partially entangled states, J. Phys. At. Mol. Opt. Phys. 42(23), 235504 (2009)
CrossRef
ADS
Google scholar
|
[14] |
M. Jiang, H. Li, Z. K. Zhang, and J. Zeng, Faithful teleportation of multi-particle states involving multi spatially re-mote agents via probabilistic channels, Physica A 390(4), 760 (2011)
CrossRef
ADS
Google scholar
|
[15] |
M. Jiang, H. Li, Z. K. Zhang, and J. Zeng, Faithful teleportation via multi-particle quantum states in a network with many agents, Quantum Inform. Process. 11(1), 23 (2012)
CrossRef
ADS
Google scholar
|
[16] |
L. H. Shi, X. T. Yu, X. F. Cai, Y. X. Gong, and Z. C. Zhang, Quantum information transmission in the quantum wireless multihop network based on Werner state, Chin. Phys. B 24(5), 050308 (2015)
CrossRef
ADS
Google scholar
|
[17] |
X. F. Cai, X. T. Yu, L. H. Shi, and Z. C. Zhang, Partially entangled states bridge in quantum teleportation, Front. Phys. 9(5), 646 (2014)
CrossRef
ADS
Google scholar
|
[18] |
X. T. Yu, J. Xu, and Z. C. Zhang, Distributed wireless quantum communication networks, Chin. Phys. B 22(9), 090311 (2013)
CrossRef
ADS
Google scholar
|
[19] |
K. Wang, X. T. Yu, S. L. Lu, and Y. X. Gong, Quantum wireless multi-hop communication based on arbitrary Bell pairs and teleportation, Phys. Rev. A 89(2), 022329 (2014)
CrossRef
ADS
Google scholar
|
[20] |
P. Y. Xiong, X. T. Yu, H. T. Zhan, and Z. C. Zhang, Multiple teleportation via partially entangled GHZ state, Front. Phys. 11(4), 110303 (2016)
CrossRef
ADS
Google scholar
|
[21] |
K. Wang, Y. X. Gong, X. T. Yu, and S. L. Lu, Addendum to “Quantum wireless multihop communication based on arbitrary Bell pairs and teleportation”, Phys. Rev. A 90(4), 044302 (2014)
CrossRef
ADS
Google scholar
|
[22] |
S. T. Cheng, C. Y. Wang, and M. H. Tao, Quantum communication for wireless wide-area networks, IEEE J. Sel. Areas Comm. 23(7), 1424 (2005)
CrossRef
ADS
Google scholar
|
[23] |
X. T. Yu, J. Xu, and Z. C. Zhang, Routing protocol for wireless ad hoc quantum communication network based on quantum teleportation, Acta Phisica Sinica 61(22), 220303 (2012)
|
[24] |
X. T. Yu, Z. C. Zhang, and J. Xu, Distributed wireless quantum communication networks with partially entangled pairs, Chin. Phys. B 23(1), 010303 (2014)
CrossRef
ADS
Google scholar
|
[25] |
I. F. Akyildiz, X. Wang, and W. Wang, Wireless mesh networks: A survey, Comput. Netw. ISDN Syst. 47(4), 445 (2005)
CrossRef
ADS
Google scholar
|
/
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