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Targeting the quantum communication network based on entangled states, a network model is proposed. According to the model, the quantum channel establishing rate of basic links is then analyzed. For different quantum channel establishment methods, the quantum channel establishing rates of long relay links are also analyzed. Then the quantum channel establishing rates corresponding to the point-by-point method and segmentation method are calculated. Finally, the quantum channel establishing rate between two arbitrary points in a large-scale quantum entanglement communication network is analyzed based on the percolation model. The quantum channel establishing rate in a quantum communication network of n nodes is Ω (1/n).
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Keywords:
- quantum communication network /
- quantum channel /
- entanglement /
- percolation model
[1] Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press) p3
[2] Gisin N, Ribordy G, Tittel W, Zbinden H 2002 Rev. Mod. Phys. 74 145
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[5] Bouwmeester D, Pan J W, Mattle K, Eibl M, Weinfurter H, Zeilinger A 1997 Nature 390 575
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[8] Yin J, Yong H L, Wu Y P, Peng C Z 2011 Acta Phys. Sin. 60 060307 (in Chinese) [印娟, 雍海林, 吴裕平, 彭承志 2011 60 060307]
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[11] Yin J, Ren J G, Lu H, Cao Y, Yong H L, Wu Y P, Liu C, Liao S K, Zhou F, Jiang Y, Cai X D, Xu P, Pan G S, Jia J J, Huang Y M, Yin H, Wang J Y, Chen Y A, Peng C Z, Pan J W 2012 Nature 488 185
[12] Inagaki T, Matsuda N, Tadanaga O, Asobe M, Takesue H 2013 Opt. Express 21 23241
[13] Yu X T, Zhang Z C, Xu J 2014 Chin. Phys. B 23 010303
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[16] Liu X H, Nie M, Pei C X 2013 Acta Phys. Sin. 62 200304 (in Chinese) [刘晓慧, 聂敏, 裴昌幸 2013 62 200304]
[17] Yu X T, Xu J, Zhang Z C 2013 Chin. Phys. B 22 090311
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[19] Xu F H, Qi B, Liao Z F, Lo H K 2013 Appl. Phys. Lett. 103 061101
[20] Cao Y, Liang H, Yin J, Yong H L, Zhou F, Wu Y P, Ren J G, Li Y H, Pan G S, Yang T, Ma X, Peng C Z, Pan J W 2013 Opt. Express 21 27260
[21] Franceschetti M, Dousse O, Tse D N C, Thiran P 2007 IEEE Trans. Inform. Theory 53 1009
[22] Hu C, Wang X, Yang Z, Zhang J, Xu Y, Gao X 2010 IEEE Trans. Commun. 58 2916
[23] Bose S, Vedral V, Knight P L 1999 Phys. Rev. A 60 194
[24] Lu H, Guo G C 2000 Phys. Lett. A 276 209
[25] Bacinoglu T, Gulbahar B, Akan O B 2010 Proc. IEEE GLOBECOM Miami, USA, December 6-10 2010 p1
[26] He B, Ren Y H, Bergou J A 2009 Phys. Rev. A 79 052323
[27] Schmitt-Manderbach T, Weier H, Frst M, Ursin R, Tiefenbacher F, Scheidl T, Perdigues J, Sodnik Z, Kurtsiefer C, Rarity J, Zeilinger A, Weinfurter H 2007 Phys. Rev. Lett. 98 010504
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[1] Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press) p3
[2] Gisin N, Ribordy G, Tittel W, Zbinden H 2002 Rev. Mod. Phys. 74 145
[3] Mayers D 2001 J. ACM 48 351
[4] Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A, Wooters W K 1993 Phys. Rev. Lett. 70 1895
[5] Bouwmeester D, Pan J W, Mattle K, Eibl M, Weinfurter H, Zeilinger A 1997 Nature 390 575
[6] Żukowski M 1993 Phys. Lett. A 177 290
[7] Pan J W, Bouwmeester D, Weinfurter H, Zeilinger A 1998 Phys. Rev. Lett. 80 3891
[8] Yin J, Yong H L, Wu Y P, Peng C Z 2011 Acta Phys. Sin. 60 060307 (in Chinese) [印娟, 雍海林, 吴裕平, 彭承志 2011 60 060307]
[9] Zhao Z, Yang T, Chen Y A, Zhang A N, Żukowski M, Pan J W 2003 Phys. Rev. Lett. 91 180401
[10] Jin X M, Ren J G, Yang B, Yi Z H, Zhou F, Xu X F, Wang S K, Yang D, Hu Y F, Jiang S, Yang T, Yin H, Chen K, Peng C Z, Pan J W 2010 Nat. Photon. 4 339
[11] Yin J, Ren J G, Lu H, Cao Y, Yong H L, Wu Y P, Liu C, Liao S K, Zhou F, Jiang Y, Cai X D, Xu P, Pan G S, Jia J J, Huang Y M, Yin H, Wang J Y, Chen Y A, Peng C Z, Pan J W 2012 Nature 488 185
[12] Inagaki T, Matsuda N, Tadanaga O, Asobe M, Takesue H 2013 Opt. Express 21 23241
[13] Yu X T, Zhang Z C, Xu J 2014 Chin. Phys. B 23 010303
[14] Yu X T, Xu J, Zhang Z C 2012 Acta Phys. Sin. 61 220303 (in Chinese) [余旭涛, 徐进, 张在琛 2012 61 220303]
[15] Wang K, Yu X T, Lu S L, Gong Y X 2014 Phys. Rev. A 89 022329
[16] Liu X H, Nie M, Pei C X 2013 Acta Phys. Sin. 62 200304 (in Chinese) [刘晓慧, 聂敏, 裴昌幸 2013 62 200304]
[17] Yu X T, Xu J, Zhang Z C 2013 Chin. Phys. B 22 090311
[18] Vollmer C E, Schulze D, Eberle T, Händchen V, Fiurášek J 2013 Phys. Rev. Lett. 111 230505
[19] Xu F H, Qi B, Liao Z F, Lo H K 2013 Appl. Phys. Lett. 103 061101
[20] Cao Y, Liang H, Yin J, Yong H L, Zhou F, Wu Y P, Ren J G, Li Y H, Pan G S, Yang T, Ma X, Peng C Z, Pan J W 2013 Opt. Express 21 27260
[21] Franceschetti M, Dousse O, Tse D N C, Thiran P 2007 IEEE Trans. Inform. Theory 53 1009
[22] Hu C, Wang X, Yang Z, Zhang J, Xu Y, Gao X 2010 IEEE Trans. Commun. 58 2916
[23] Bose S, Vedral V, Knight P L 1999 Phys. Rev. A 60 194
[24] Lu H, Guo G C 2000 Phys. Lett. A 276 209
[25] Bacinoglu T, Gulbahar B, Akan O B 2010 Proc. IEEE GLOBECOM Miami, USA, December 6-10 2010 p1
[26] He B, Ren Y H, Bergou J A 2009 Phys. Rev. A 79 052323
[27] Schmitt-Manderbach T, Weier H, Frst M, Ursin R, Tiefenbacher F, Scheidl T, Perdigues J, Sodnik Z, Kurtsiefer C, Rarity J, Zeilinger A, Weinfurter H 2007 Phys. Rev. Lett. 98 010504
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