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By exploiting the entanglement properties of continuous variable quantum GHZ state, we propose a tripartite quantum deterministic key distribution, in which the key is generated from its amplitude and the phase can be used to test and verify the channel security. The existing quantum deterministic key distribution can only hand over deterministic key to one receiver in one communication. However, we always have to transmit deterministic key to more than one receiver in real life. The analysis results of information theory show that when the channel transmission efficiency is greater than 0.5, the proposed protocol can securely hand over the pre-deterministic key to two receivers simultaneously, and it can also be extended to multiparty quantum deterministic key distribution when preparing multiple entangled state, this will greatly improve the overall efficiency of the key transmission, furthermore, the continuous variable quantum GHZ state could have a higher channel capacity, so the protocol has the important practical significance.
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Keywords:
- continuous-variable /
- quantum deterministic key distribution /
- key management /
- quantum communication
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[1] Ralph T C 1999 Phys. Rev. A 61 010303
[2] Ralph T C 2000 Phys. Rev. A 62 062306
[3] Cerf N J, Levy M, Assche G V 2001 Phys. Rev. A 63 052311
[4] Grosshans F, Grangier P 2002 Phys. Rev. Lett. 88 057902
[5] Silberhorn C, Ralph T C, Lutkenhaus N, Leuchs G 2002 Phys. Rev. Lett. 89 167901
[6] Grosshans F, Assche G V, Wenger J, Brouri R, Cerf N J, Grangier P 2003 Nature 421 238
[7] Takesue H, Diamanti E, Honjo T, Langrock C, Fejer M M, Inoue K, Yamamoto Y 2005 New J. Phys. 7 232
[8] Namiki R, Hirano T 2006 Phys. Rev. A 74 032302
[9] Ma X F, Lo H K, Fung C F 2007 Phys. Rev. A 76 012307
[10] Chen J J, Han Z F, Zhao Y B, Gui Y Z, Guo G C 2007 Acta Phys. Sin. 56 9 (in Chinese) [陈进建, 韩正甫, 赵义博, 桂有珍, 郭光灿 2007 物理学报 56 9]
[11] Zhao Y B, Heid M, Rigas J, Lutkenhaus N 2009 Phys. Rev. A 79 012307
[12] Li X H, Deng F G, Zhou H Y 2008 Phys. Rev. A 78 022321
[13] Fossier S, Diamanti E, Debuisschert T, Villing A, Brouri R T, Grangier P 2009 New J. Phys. 11 045023
[14] Su X L, Wang W Z, Wang Y, Jia X J, Xie C D, Peng K C 2009 Europhys. Lett. 87 20005
[15] Liu Y, Chen T Y, Wang J, Cai W Q, Wan X, Chen L K, Wang J H, Liu S B, Yang L, Chen K, Chen Z B, Pan J W, Peng C Z, Liang H 2010 Opt. Express. 18 8587
[16] Shen Y, Zou H X, Tian L, Chen P X, Yuan J M 2010 Phys. Rev. A 82 022317
[17] Hu H P, Wang J D, Huang Y X, Liu S H, Lu W 2010 Acta Phys. Sin. 59 292 (in Chinese) [胡华鹏, 王金东, 黄宇娴, 刘颂豪, 路巍 2010 物理学报 59 292]
[18] Wei Z J, Wan W, Wang J D, Liao C J, Liu S H 2011 Acta Phys. Sin. 60 094216 (in Chinese) [魏正军, 万伟, 王金东, 廖常俊, 刘颂豪 2011 物理学报 60 094216]
[19] Allati A E, Baz M E, Hassouni Y 2011 Quantum Inf. Process. 10 589
[20] Jiao R Z, Zhang C, Ma H Q 2011 Acta Phys. Sin. 60 110303 (in Chinese) [焦荣珍, 张弨, 马海强 2011 物理学报 60 110303]
[21] Yoshino K, Fujiwara M, Tanaka A, Takahashi S, Nambu Y, Tomita A, Miki S, Yamashita T, Wang Z, Sasaki M, Tajima A 2012 Opt. Lett. 37 223
[22] Yang J, Xu B J, Peng X, Guo H 2012 arXiv: 1202.0883v1 [quant-ph]
[23] Yang Y G, Wen Q Y, Zhu F C 2005 Acta Phys. Sin. 54 5548 (in Chinese) [杨宇光, 温巧燕, 朱甫臣 2005 物理学报 54 5548]
[24] Matsumoto R 2007 Phys. Rev. A 76 062316
[25] Zhou N R, Wang L J, Gong L H, Zuo X W, Liu Y 2011 Opt. Commun. 284 4836
[26] Furusawa A, Takei N 2007 Phys. Rep. 443 97
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