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The αη protocol is the random cipher protocol and hides information by the quantum phase noise. In this paper, the security criterion of the protocol is deduced by developing a quantum channel model and calculating the amount of information obtained by the eavesdropper. The results show the security of the protocol depends mainly on the average photon number of the signal quantum states and the number of cipher-text symbols. Considering the above factors, the secure value region of the average photon number and cipher-text symbol number is calculated, which is against the beam splitter attack. Furthermore, the effective communication distance is simulated.
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Keywords:
- αη protocol /
- security analysis /
- beam splitter attack
[1] Zeng G H 2010 Quantum Private Communication (Berlin: Springer-Verlag) pp112---117
[2] Bennett C H, Brassard G 1984 Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing (Bangalore: IEEE) pp175---179
[3] Bennett C H 1992 Phys. Rev. Lett. 68 3121
[4] Yuen H P, Kim A M 1998 Phys. Lett. A 241 135
[5] Zhu Y Y, Lu Y, Zhu J, Zeng G H 2011 Int. J. Quantum Inform. 9 1113
[6] Gabriel C, Wittmann C, Sych D, Dong R F, Mauerer W, Andersen U L, Marquardt C, Leuchs G 2010 Nat. Photon. 4 711
[7] Fürst M, Weier H, Nauerth S, Marangon D G, Kurtsiefer C, Weinfurter H 2010 Opt. Express 18 13029
[8] Mayers D 2001 Assoc. Comput. Mechan. 48 351
[9] Takesue H, Nam S W, Zhang Q, Hadfield R H, Honjo T, Tamaki K, Yamamoto Y 2007 Nat. Photon. 1 343
[10] Sasaki M, Fujiwara M, Ishizuka H, Klaus W, Wakui K, Takeoka M, Miki S, Yamashita T, Wang Z, Tanaka A, Yoshino K, Nambu Y, Takahashi S, Tajima A, Tomita A, Domeki T, Hasegawa T, Sakai Y, Kobayashi H, Asai T, Shimizu K, Tokura T, Tsurumaru T, Matsui M, Honjo T, Tamaki K, Takesue H, Tokura Y, Dynes J F, Dixon A R, Sharpe A W, Yuan Z L, Shields A J, Uchikoga S, Legr M, Robyr S, Trinkler P, Monat L, Page J B, Ribordy G, Poppe A, Allacher A, Maurhart O, Länger T, Peev M, Zeilinger A 2011 Opt. Express 19 10387
[11] Barbosa G A, Corndorf E, Kumar P, Yuen H P 2003 Phys. Rev. Lett. 90 22
[12] Corndorf E, Liang C, Kanter G S, Kumar P, Yuen H P 2005 Phys. Rev. A 71 062326
[13] Yuen H P, Nair R, Corndorf E, Kanter G S, Kumar P 2006 Quantum Inform. Comput. 6 561
[14] Hirota O 2007 Phys. Rev. A 76 032307
[15] Hirota O, Kurosawa K 2007 Quantum Inform. Process. 6 81
[16] Grosshans F, Cerf N J, Wenger J, Tualle-Brouri R, Grangier P 2003 Quantum Inform. Comput. 3 535
[17] Nair R, Yuen H P, Corndorf E, Eguchi T, Kumar P 2006 Phys. Rev. A 74 052309
[18] Thomas M C, Joy A T 1991 Elements of Information Theory (New York: Wiley) pp183---194
[19] He G Q, Guo H B, Li Y D, Zhu S W, Zeng G H 2008 Acta Phys. Sin. 57 2212 (in Chinese) [何广强, 郭红斌, 李昱丹, 朱思维, 曾贵华 2008 物理学报 57 2212 ]
[20] 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
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[1] Zeng G H 2010 Quantum Private Communication (Berlin: Springer-Verlag) pp112---117
[2] Bennett C H, Brassard G 1984 Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing (Bangalore: IEEE) pp175---179
[3] Bennett C H 1992 Phys. Rev. Lett. 68 3121
[4] Yuen H P, Kim A M 1998 Phys. Lett. A 241 135
[5] Zhu Y Y, Lu Y, Zhu J, Zeng G H 2011 Int. J. Quantum Inform. 9 1113
[6] Gabriel C, Wittmann C, Sych D, Dong R F, Mauerer W, Andersen U L, Marquardt C, Leuchs G 2010 Nat. Photon. 4 711
[7] Fürst M, Weier H, Nauerth S, Marangon D G, Kurtsiefer C, Weinfurter H 2010 Opt. Express 18 13029
[8] Mayers D 2001 Assoc. Comput. Mechan. 48 351
[9] Takesue H, Nam S W, Zhang Q, Hadfield R H, Honjo T, Tamaki K, Yamamoto Y 2007 Nat. Photon. 1 343
[10] Sasaki M, Fujiwara M, Ishizuka H, Klaus W, Wakui K, Takeoka M, Miki S, Yamashita T, Wang Z, Tanaka A, Yoshino K, Nambu Y, Takahashi S, Tajima A, Tomita A, Domeki T, Hasegawa T, Sakai Y, Kobayashi H, Asai T, Shimizu K, Tokura T, Tsurumaru T, Matsui M, Honjo T, Tamaki K, Takesue H, Tokura Y, Dynes J F, Dixon A R, Sharpe A W, Yuan Z L, Shields A J, Uchikoga S, Legr M, Robyr S, Trinkler P, Monat L, Page J B, Ribordy G, Poppe A, Allacher A, Maurhart O, Länger T, Peev M, Zeilinger A 2011 Opt. Express 19 10387
[11] Barbosa G A, Corndorf E, Kumar P, Yuen H P 2003 Phys. Rev. Lett. 90 22
[12] Corndorf E, Liang C, Kanter G S, Kumar P, Yuen H P 2005 Phys. Rev. A 71 062326
[13] Yuen H P, Nair R, Corndorf E, Kanter G S, Kumar P 2006 Quantum Inform. Comput. 6 561
[14] Hirota O 2007 Phys. Rev. A 76 032307
[15] Hirota O, Kurosawa K 2007 Quantum Inform. Process. 6 81
[16] Grosshans F, Cerf N J, Wenger J, Tualle-Brouri R, Grangier P 2003 Quantum Inform. Comput. 3 535
[17] Nair R, Yuen H P, Corndorf E, Eguchi T, Kumar P 2006 Phys. Rev. A 74 052309
[18] Thomas M C, Joy A T 1991 Elements of Information Theory (New York: Wiley) pp183---194
[19] He G Q, Guo H B, Li Y D, Zhu S W, Zeng G H 2008 Acta Phys. Sin. 57 2212 (in Chinese) [何广强, 郭红斌, 李昱丹, 朱思维, 曾贵华 2008 物理学报 57 2212 ]
[20] 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
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