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Developing quantum key distribution (QKD) protocols that can resist losses and noises is of great importance in practice. We show that the maximum transmission distance and tolerable excess noise of the no-switching CV-QKD protocol can be dramatically increased by using a noiseless linear amplifier (NLA). It is proved that an NLA with a gain g can increase the maximum transmission distance by 20 log10g/α km, where α=0.2 dB/km is the loss coefficient of the fiber channel.
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Keywords:
- continuous variable /
- quantum key distribution /
- maximum transmission distance /
- noiseless linear amplifier
[1] Scarani V, Bechmann-Pasquinucci H, Cerf N J, Dusek M, Lutkenhaus N, Peev M 2009 Rev. Mod. Phys. 81 1301
[2] Bennett C H, Brassard G 1984 Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing (IEEE, New York, 1984) p175
[3] Wang X B 2005 Phys. Rev. Lett. 94 230503
[4] Lo H K, Ma X F, Chen K 2005 Phys. Rev. Lett. 94 230504
[5] Grosshans F, Grangier P 2002 Phys. Rev. Lett. 88 057902
[6] Weedbrook C, Lance A M, Bowen W P, Symul T, Ralph T C, Lam P K 2004 Phys. Rev. Lett. 93 170504
[7] Weedbrook C, Pirandola S, Garcia-Patron R, Cerf N J, Ralph T C, Shapiro J H, Lloyd S 2012 Rev. Mod. Phys. 84 621
[8] Cerf N J, Levy M, Assche G V 2001 Phys. Rev. A 63 052311
[9] Garcia-Patron R, Cerf N J 2009 Phys. Rev. Lett. 102 130501
[10] Zhu C H, Pei C X, Quan D X, Chen N, Yi Y H 2009 Acta Phys. Sin. 58 2184 (in Chinese) [朱畅华, 裴昌幸, 权东晓, 陈南, 易运晖 2009 物理学报 58 2184]
[11] Chen J J, Han Z F, Zhao Y B, Gui Y Z, Guo G C 2007 Acta Phys. Sin. 56 5 (in Chinese) [陈进建, 韩正甫, 赵义博, 桂有珍, 郭光灿 2007 物理学报 56 5]
[12] Garcia-Patron R, Cerf N J 2006 Phys. Rev. Lett. 97 190503
[13] Navascues M, Grosshans F, Acin A 2006 Phys. Rev. Lett. 97 190502
[14] Pirandola S, Braunstein S L, Lloyd S 2008 Phys. Rev. Lett. 101 200504
[15] Leverrier A, Grangier P Phys. Rev. A 81 062314
[16] Garcia-Patron R 2007 Ph. D. Dissertation (Bruxelles University)
[17] Renner R, Cirac J I 2009 Phys. Rev. Lett. 102 110504
[18] Lodewyck J, Bloch M, Garcia-Patron R, Fossier S, Karpov E, Diamanti E, Debuisschert T, Cerf N J, Tualle-Brouri R, McLaughlin S W, Grangier P 2007 Phys. Rev. A 76 042305
[19] Fossier S, Diamanti E, Debuisschert T, Villing A, Tualle-Brouri R, Grangier P 2009 New J. Phys. 11 045023
[20] Jouguet P, Kunz-Jacques S, Leverrier A 2011 Phys. Rev. A 84 062317
[21] He G Q, Guo H B, Li Y D, Zhu S W, Zeng G H 2008 Acta Phys. Sin. 56 5 (in Chinese) [何广强, 郭红斌, 李昱丹, 朱思维, 曾贵华 2008 物理学报 57 2212]
[22] Leverrier A, Grangier A 2009 Phys. Rev. Lett. 102 180504
[23] Shen Y, Zou H X 2010 Acta Phys. Sin. 59 1473 (in Chinese) [沈咏, 邹宏新 2010 物理学报 59 1473]
[24] Leverrier A, Grangier P 2011 Phys. Rev. A 83 042312
[25] Yang J, Xu B J, Peng X, Guo H 2012 Phys. Rev. A 85 052302
[26] Blandino R, Leverrier A, Barbieri M, Etesse J, Grangier P, Tualle-Brouri R 2012 Phys. Rev. A 86 012327
[27] Zhang H, Fang J, He G Q 2012 Phys. Rev. A 86 022338
[28] Xu B J, Tang C M, Chen H, Zhang W Z, Zhu F C 2012 arXiv:1210.0107
[29] Ralph T C, Lund A P 2009 Quantum Communication Measurement and Computing, Proceedings of 9th International Conference, edited by A. Lvovsky (AIP, New York, 2009) p155
[30] Micuda M, Straka I, Mikova M, Dusek M, Cerf N J, Fiurasek J, Jezek M 2012 arXiv: 1206.2852
[31] Meng G S, Yang S, Zou X B, Zhang S L, Shi B S, Guo G C 2012 Phys. Rev. A 86 042305
[32] Xiang G Y, Ralph T C, Lund A P, Walk N, Pryde G J 2010 Nature Photon. 4 316
[33] Zhang S L, Yang S, Zou X B, Shi B S, Guo G C 2012 Phys. Rev. A 86 034302
[34] Brask J B, Brunner N, Cavalcanti D, Leverrier A 2012 Phys. Rev. A 85 042116
[35] Ferreyrol F, Barbieri M, Blandino R, Fossier S, Tualle-Brouri R, Grangier P 2010 Phys. Rev. Lett. 104 123603
[36] Ferreyrol F, Blandino R, Barbieri M, Tualle-Brouri R, Grangier P 2011 Phys. Rev. A 83 063801
[37] Barbieri M, Ferreyrol F, Blandino R, Tualle-Brouri R, Grangier P 2011 Laser Phys. Lett. 8 411
[38] Zavatta A, Fiurasek J, Bellini M 2011 Nature Photon. 5 52
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[1] Scarani V, Bechmann-Pasquinucci H, Cerf N J, Dusek M, Lutkenhaus N, Peev M 2009 Rev. Mod. Phys. 81 1301
[2] Bennett C H, Brassard G 1984 Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing (IEEE, New York, 1984) p175
[3] Wang X B 2005 Phys. Rev. Lett. 94 230503
[4] Lo H K, Ma X F, Chen K 2005 Phys. Rev. Lett. 94 230504
[5] Grosshans F, Grangier P 2002 Phys. Rev. Lett. 88 057902
[6] Weedbrook C, Lance A M, Bowen W P, Symul T, Ralph T C, Lam P K 2004 Phys. Rev. Lett. 93 170504
[7] Weedbrook C, Pirandola S, Garcia-Patron R, Cerf N J, Ralph T C, Shapiro J H, Lloyd S 2012 Rev. Mod. Phys. 84 621
[8] Cerf N J, Levy M, Assche G V 2001 Phys. Rev. A 63 052311
[9] Garcia-Patron R, Cerf N J 2009 Phys. Rev. Lett. 102 130501
[10] Zhu C H, Pei C X, Quan D X, Chen N, Yi Y H 2009 Acta Phys. Sin. 58 2184 (in Chinese) [朱畅华, 裴昌幸, 权东晓, 陈南, 易运晖 2009 物理学报 58 2184]
[11] Chen J J, Han Z F, Zhao Y B, Gui Y Z, Guo G C 2007 Acta Phys. Sin. 56 5 (in Chinese) [陈进建, 韩正甫, 赵义博, 桂有珍, 郭光灿 2007 物理学报 56 5]
[12] Garcia-Patron R, Cerf N J 2006 Phys. Rev. Lett. 97 190503
[13] Navascues M, Grosshans F, Acin A 2006 Phys. Rev. Lett. 97 190502
[14] Pirandola S, Braunstein S L, Lloyd S 2008 Phys. Rev. Lett. 101 200504
[15] Leverrier A, Grangier P Phys. Rev. A 81 062314
[16] Garcia-Patron R 2007 Ph. D. Dissertation (Bruxelles University)
[17] Renner R, Cirac J I 2009 Phys. Rev. Lett. 102 110504
[18] Lodewyck J, Bloch M, Garcia-Patron R, Fossier S, Karpov E, Diamanti E, Debuisschert T, Cerf N J, Tualle-Brouri R, McLaughlin S W, Grangier P 2007 Phys. Rev. A 76 042305
[19] Fossier S, Diamanti E, Debuisschert T, Villing A, Tualle-Brouri R, Grangier P 2009 New J. Phys. 11 045023
[20] Jouguet P, Kunz-Jacques S, Leverrier A 2011 Phys. Rev. A 84 062317
[21] He G Q, Guo H B, Li Y D, Zhu S W, Zeng G H 2008 Acta Phys. Sin. 56 5 (in Chinese) [何广强, 郭红斌, 李昱丹, 朱思维, 曾贵华 2008 物理学报 57 2212]
[22] Leverrier A, Grangier A 2009 Phys. Rev. Lett. 102 180504
[23] Shen Y, Zou H X 2010 Acta Phys. Sin. 59 1473 (in Chinese) [沈咏, 邹宏新 2010 物理学报 59 1473]
[24] Leverrier A, Grangier P 2011 Phys. Rev. A 83 042312
[25] Yang J, Xu B J, Peng X, Guo H 2012 Phys. Rev. A 85 052302
[26] Blandino R, Leverrier A, Barbieri M, Etesse J, Grangier P, Tualle-Brouri R 2012 Phys. Rev. A 86 012327
[27] Zhang H, Fang J, He G Q 2012 Phys. Rev. A 86 022338
[28] Xu B J, Tang C M, Chen H, Zhang W Z, Zhu F C 2012 arXiv:1210.0107
[29] Ralph T C, Lund A P 2009 Quantum Communication Measurement and Computing, Proceedings of 9th International Conference, edited by A. Lvovsky (AIP, New York, 2009) p155
[30] Micuda M, Straka I, Mikova M, Dusek M, Cerf N J, Fiurasek J, Jezek M 2012 arXiv: 1206.2852
[31] Meng G S, Yang S, Zou X B, Zhang S L, Shi B S, Guo G C 2012 Phys. Rev. A 86 042305
[32] Xiang G Y, Ralph T C, Lund A P, Walk N, Pryde G J 2010 Nature Photon. 4 316
[33] Zhang S L, Yang S, Zou X B, Shi B S, Guo G C 2012 Phys. Rev. A 86 034302
[34] Brask J B, Brunner N, Cavalcanti D, Leverrier A 2012 Phys. Rev. A 85 042116
[35] Ferreyrol F, Barbieri M, Blandino R, Fossier S, Tualle-Brouri R, Grangier P 2010 Phys. Rev. Lett. 104 123603
[36] Ferreyrol F, Blandino R, Barbieri M, Tualle-Brouri R, Grangier P 2011 Phys. Rev. A 83 063801
[37] Barbieri M, Ferreyrol F, Blandino R, Tualle-Brouri R, Grangier P 2011 Laser Phys. Lett. 8 411
[38] Zavatta A, Fiurasek J, Bellini M 2011 Nature Photon. 5 52
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