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We propose a long distance measurement-device-independent (MDI) quantum-key-distribution (QKD) with quantum memory, and analyze the relationship between the key generation rate and the storage efficiency of quantum memory. Our protocol is considered and compared with MDI-QKD without quantum memory. We present general formulas for our protocol with three-intensity decoy states. The simulation results show that the maximum secure distance supported by MDI-QKD with quantum memory is about 500 km, while the maximum secure distance of MDI-QKD without quantum memory is only 216 km. With certain limits, prolonging the time of maintaining the necessary quantum fidelity can increase security key transmission distance. Furthermore, the protocol is robust against device imperfection such as quantum memory decoherence effects, which can be easily applied to practical QKD system.
[1] Bennet C H, Brassard G 1984 Proc. IEEE International Conference Computers, Systems, and Signal Processing Bangalore, India, December 9-12,1984 pp175-179
[2] Shor P W, Preskill J 2000 Phys. Rev. Lett. 85 441
[3] Mayers D 2001 J. ACM 48 351
[4] Gottesman D, Lo H K, Lutkenhaus N, Preskill J 2004 Quantum Infor. Comput. 4 325
[5] Dong C, Zhao S H, Dong Y, Zhao W H, Zhao J 2014 Acta Phys. Sin. 63 170303 (in Chinese) [ 东晨, 赵尚弘, 董毅, 赵卫虎, 赵静 2014 63 170303]
[6] Sheng Y B, Zhou L, Cheng W W, Gong L Y, Wang L, Zhan S M 2013 Chin. Phys. B 22 030314
[7] Wang J D, Qin X J, Wei Z J, Liu X B, Liao C J, Liu S H 2010 Acta Phys. Sin. 59 281 (in Chinese) [王金东, 秦晓娟, 魏正军, 刘小宝, 廖常俊, 刘颂豪 2010 59 281]
[8] Yin Z Q, Han Z F, Chen W, Xu F X, Wu Q L, Guo G
[9] Jiao R Z, Tang S J, Zhang C 2012 Acta Phys. Sin. 61 050302 (in Chinese) [焦荣珍, 唐少杰, 张弨 2012 61 050302]
[10] Scarani V, Bechmann-Pasquinucci H, Cerf N J, Dusek M, Lutkenhaus N, Peev M 2009 Rev. Mod. Phys. 81 1301
[11] Sangouard N, Simon C, Zhao B, Chen Y A, de Riedmateen H, Pan J W, Gisin N 2008 Phys. Rev. A 77 0602301
[12] Briegel H J, Dür W, Cirac J I, Zoller P 1998 Phys. Rev. Lett. 81 5932
[13] Lloyd S, Shahriar M S, Shapiro J H, Hemmer P R 2001 Phys. Rev. Lett. 87 167903
[14] Razavi M, Shapiro J H 2006 Phys. Rev. A 73 042303
[15] Hwang W Y 2003 Phys. Rev. Lett. 91 057901
[16] Lo H K, Curty M, Qi B 2012 Phys. Rev. Lett. 108 130503
[17] Sangouard N, Simon C, de Riedmatten H, Gisin N 2011 Rev. Modern Phys. 83 33
[18] Rubenok A, Slater J A, Chan P, Lucio-Martinez I, Tittle W 2012 arxiv:1204 0738
[19] Liu Y, Chen T Y, Wang L J, Liang H, Shentu G L, Wang J 2012 arXiv:1209 6178
[20] Piparo N L, Razavi M 2012 The Sixth International Conference on Quantum, Nano and Micro Technologies Rome, Italy
[21] Panayi C, Razavi M, Ma X F, Norbert L 2013 arXiv:1209 6178
[22] Abruzzo S, Permann H K, Brub D 2013 arXiv:1306 3095v1
[23] Hwang W Y 2003 Phys. Rev. Lett. 91 057901
[24] Ma X F, Fung C H F, Razavi M 2012 Phys. Rev. A 86 052305
[25] Ma X F, Razavi M 2012 Phys. Rev. A 86 062319
[26] Abruzzo S, Kampermann H, Brub D 2013 arXiv:1306 3905
[27] Panayi C, Razavi M, Ma X F, Lutkenhaus N 2013 arXiv:1309 3406
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[1] Bennet C H, Brassard G 1984 Proc. IEEE International Conference Computers, Systems, and Signal Processing Bangalore, India, December 9-12,1984 pp175-179
[2] Shor P W, Preskill J 2000 Phys. Rev. Lett. 85 441
[3] Mayers D 2001 J. ACM 48 351
[4] Gottesman D, Lo H K, Lutkenhaus N, Preskill J 2004 Quantum Infor. Comput. 4 325
[5] Dong C, Zhao S H, Dong Y, Zhao W H, Zhao J 2014 Acta Phys. Sin. 63 170303 (in Chinese) [ 东晨, 赵尚弘, 董毅, 赵卫虎, 赵静 2014 63 170303]
[6] Sheng Y B, Zhou L, Cheng W W, Gong L Y, Wang L, Zhan S M 2013 Chin. Phys. B 22 030314
[7] Wang J D, Qin X J, Wei Z J, Liu X B, Liao C J, Liu S H 2010 Acta Phys. Sin. 59 281 (in Chinese) [王金东, 秦晓娟, 魏正军, 刘小宝, 廖常俊, 刘颂豪 2010 59 281]
[8] Yin Z Q, Han Z F, Chen W, Xu F X, Wu Q L, Guo G
[9] Jiao R Z, Tang S J, Zhang C 2012 Acta Phys. Sin. 61 050302 (in Chinese) [焦荣珍, 唐少杰, 张弨 2012 61 050302]
[10] Scarani V, Bechmann-Pasquinucci H, Cerf N J, Dusek M, Lutkenhaus N, Peev M 2009 Rev. Mod. Phys. 81 1301
[11] Sangouard N, Simon C, Zhao B, Chen Y A, de Riedmateen H, Pan J W, Gisin N 2008 Phys. Rev. A 77 0602301
[12] Briegel H J, Dür W, Cirac J I, Zoller P 1998 Phys. Rev. Lett. 81 5932
[13] Lloyd S, Shahriar M S, Shapiro J H, Hemmer P R 2001 Phys. Rev. Lett. 87 167903
[14] Razavi M, Shapiro J H 2006 Phys. Rev. A 73 042303
[15] Hwang W Y 2003 Phys. Rev. Lett. 91 057901
[16] Lo H K, Curty M, Qi B 2012 Phys. Rev. Lett. 108 130503
[17] Sangouard N, Simon C, de Riedmatten H, Gisin N 2011 Rev. Modern Phys. 83 33
[18] Rubenok A, Slater J A, Chan P, Lucio-Martinez I, Tittle W 2012 arxiv:1204 0738
[19] Liu Y, Chen T Y, Wang L J, Liang H, Shentu G L, Wang J 2012 arXiv:1209 6178
[20] Piparo N L, Razavi M 2012 The Sixth International Conference on Quantum, Nano and Micro Technologies Rome, Italy
[21] Panayi C, Razavi M, Ma X F, Norbert L 2013 arXiv:1209 6178
[22] Abruzzo S, Permann H K, Brub D 2013 arXiv:1306 3095v1
[23] Hwang W Y 2003 Phys. Rev. Lett. 91 057901
[24] Ma X F, Fung C H F, Razavi M 2012 Phys. Rev. A 86 052305
[25] Ma X F, Razavi M 2012 Phys. Rev. A 86 062319
[26] Abruzzo S, Kampermann H, Brub D 2013 arXiv:1306 3905
[27] Panayi C, Razavi M, Ma X F, Lutkenhaus N 2013 arXiv:1309 3406
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