1State key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 1008762State Key Laboratory of Integrated Services Network, Xidian University, Xi'an 7100713National Laboratory for Modern Communications, PO Box 810, Chengdu 610041
Forcible-Measurement Attack on Quantum Secure Direct Communication Protocol with Cluster State
1State key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 1008762State Key Laboratory of Integrated Services Network, Xidian University, Xi'an 7100713National Laboratory for Modern Communications, PO Box 810, Chengdu 610041
摘要The security of the quantum secure direct communication (QSDC) protocol with cluster state is analysed. It is shown that the secret would be partially leaked out when an eavesdropper performs forcible measurements on the transmitted particles. With the help of the result in minimum error discrimination, an upper bound (i.e. 40%) of this leakage is obtained. Moreover, the particular measurements which makes the leakage reach this bound are given.
Abstract：The security of the quantum secure direct communication (QSDC) protocol with cluster state is analysed. It is shown that the secret would be partially leaked out when an eavesdropper performs forcible measurements on the transmitted particles. With the help of the result in minimum error discrimination, an upper bound (i.e. 40%) of this leakage is obtained. Moreover, the particular measurements which makes the leakage reach this bound are given.
[1] Gisin N, Ribordy G, Tittel W et al 2002 Rev. Mod.Phys. 74 145 [2] Bennett C H and Brassard G 1984 Proc. IEEEInternational Conference on Computers, Systems and SignalProcessing (Bangalore, India, 1984) (New York: IEEE) p 175 [3] Ekert A K 1991 Phys. Rev. Lett. 67 661 [4] Bennett C H 1992 Phys. Rev. Lett. 68 3121 [5] Vernam G S 1926 J. Am. Inst. Elect. Eng. 55109 [6] Bostr$\ddot{o$m K and Felbinger T 2002 Phys. Rev.Lett. 89 187902 [7] Deng F, Long G and Liu X 2003 Phys. Rev. A 68042317 [8] Deng F, Long G 2004 Phys. Rev. A 69 052319 [9] Lucamarini M and Mancini S 2005 Phys. Rev. Lett. 94 140501 [10] Cai Q and Li B 2004 Chin. Phys. Lett. 21 601 [11] Cai Q and Li B 2004 Phys. Rev. A 69 054301 [12] Gao T, Yan F and Wang Z 2005 Chin. Phys. Lett. 22 2473 [13] Gao T, Yan F and Wang Z 2005 J. Phys. A: Math. Gen. 38 5761 [14] Wang C, Deng F, Li Y et al 2005 Phys. Rev. A 71 044305 [15] Man Z and Xia Y 2006 Chin. Phys. Lett. 231680 [16] Jin X, Ji X, Zhang Y et al 2006 Phys. Lett. A 354 67 [17] Chen Y, Man Z and Xia Y 2007 Chin. Phys. Lett. 24 19 [18] Li X, Li C, Deng F et al 2007 Chin. Phys. 162149 [19] Lo H K and Chau H F 1999 Science 283 2050 [20] Shor P W and Preskill J 2000 Phys. Rev. Lett. 85 441 [21] Zhang Y, Li C and Guo G 2001 Phys. Rev. A 63036301 [22] Cai Q 2003 Phys. Rev. Lett. 91 109801 [23] W\'{ojcik A 2003 Phys. Rev. Lett. 90 157901 [24] W\'{ojcik A 2005 Phys. Rev. A 71 016301 [25] Gao F, Guo F, Wen Q et al 2005 Phys. Rev. A 72 036302 [26] Gao F, Guo F, Wen Q et al 2005 Phys. Rev. A 72 066301 [27] Deng F, Li X, Zhou H et al 2005 Phys. Rev. A 72 044302 [28] Lo H K and Ko T M 2005 Quantum Inf. Comput. 540 [29] Man Z, Zhang Z and Li Y 2005 Chin. Phys. Lett. 22 22 [30] Qin S, Gao F, Wen Q et al 2006 Phys. Lett. A 357 101 [31] Song J and Zhang S 2006 Chin. Phys. Lett. 231383 [32] Gao F, Qin S, Wen Q et al 2007 Quantum Inf. Comput. 7 329 [33] Man Z and Xia Y 2007 Chin. Phys. Lett. 24 15 [34] Gao F, Wen Q and Zhu F 2007 Phys. Lett. A 360748 [35] Zhang Z, Liu J, Wang D et al 2007 Phys. Rev. A 75 026301 [36] Gao F, Guo F, Wen Q et al 2008 Phys. Rev. A 77 014302 [37] Gao F, Qin S, Wen Q et al 2007 Phys. Lett. A 365 386 [28] Gao F, Qin S, Wen Q et al 2008 Phys. Lett. A 372 3333 [39] Gao F, Guo F, Wen Q et al 2008 Sci. Chin. G 51 559 [40] Tan Y and Cai Q 2008 Int. J. Quantum Inf. 6325 [41] Wang G, Fang X and Tan X 2006 Chin. Phys. Lett. 23 2658 [42] Nielsen M A 2005 arXiv: quant-ph/0504097 [43] Deng F, Li X, Li C et al 2005 Phys. Lett. A 359 359 [44] Helstrom C W 1976 Quantum Detection and EstimationTheory (New York: Academic)
2008, Vol. 25 
