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Chin. Phys. B, 2012, Vol. 21(1): 010307    DOI: 10.1088/1674-1056/21/1/010307
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Cryptanalysis and improvement of a quantum secret sharing scheme based on $\chi$-type entangled states

Zhu Zhen-Chao(朱珍超)a)b), Zhang Yu-Qing(张玉清)b)†, and Fu An-Min(付安民)b)
a Information Security Research Center, Southeast University, Nanjing 210096, China; b National Computer Network Intrusion Protection Center, Graduate University of Chinese Academy of Sciences, Beijing 100049, China
Abstract  In the paper [2010 Chin. Phys. B 19 050306], Yang et al. put forward a novel three-party quantum secret sharing protocol of secure direct communication based on $\chi$-type entangled states, they claimed that the scheme is secure. However, in this paper, we study the security of the protocol and find that it is insecure. Applying intercept and resend attack, the agent Bob can obtain Alice's secret without the help from the other agent Charlie. In the end, we give our effective modification for its improvement.
Keywords:  quantum secret sharing      quantum entanglement      bell state nonorthogonal base  
Received:  13 May 2011      Revised:  07 July 2011      Accepted manuscript online: 
PACS:  03.67.Dd (Quantum cryptography and communication security)  
  03.67.Hk (Quantum communication)  
  03.65.Ud (Entanglement and quantum nonlocality)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60970140).

Cite this article: 

Zhu Zhen-Chao(朱珍超), Zhang Yu-Qing(张玉清), and Fu An-Min(付安民) Cryptanalysis and improvement of a quantum secret sharing scheme based on $\chi$-type entangled states 2012 Chin. Phys. B 21 010307

[1] Bennett C H and Brassard G 1984 Proc. IEEE Int. Conf. Computers, Systems, and Signal Processing (India: Bangalore) p. 175
[2] Hillery M, Buvzek V and Berthiaume A 1999 Phys. Rev. A 59 1829
[3] Karlsson A, Koashi M and Imoto N 1999 Phys. Rev. A 59 162
[4] Cleve R, Gottesman D and Lo H K 1999 Phys. Rev. Lett. 83 648
[5] Bandyopadhyay S 2000 Phys. Rev. A 62 012308
[6] Tittel W, Zbinden H and Gisin N 2001 Phys. Rev. A 63 042301
[7] Karimipour V, Bahraminasab A and Bagherinezhad S 2002 Phys. Rev. A 65 042320
[8] Guo G P and Guo G C 2003 Phys. Lett. A 310 247
[9] Deng F G, Long G L and Liu X S 2003 Phys. Rev. A 68 042317
[10] Deng F G and Long G L 2004 Phys. Rev. A 69 052319
[11] Xiao L, Long G L, Deng F G and Pan J W 2004 Phys. Rev. A 69 052307
[12] Lance A M, Symul T, Bowen W P, Sanders B C and Lam P K 2004 Phys. Rev. Lett. 92 177903
[13] Deng F G, Zhou H Y and Long G L 2005 Phys. Lett. A 337 329
[14] Zhang Z J, Li Y and Man Z X 2005 Phys. Rev. A 71 044301
[15] Deng F G, Li X H, Zhou H Y and Zhang Z J 2005 Phys. Rev. A 72 044302
[16] Yan F L and Gao T 2005 Phys. Rev. A 72 012304
[17] Zhang Z J and Man Z X 2005 Phys. Rev. A 72 022303
[18] Li C Y, Zhou H Y, Wang Y and Deng F G 2005 Chin. Phys. Lett. 22 1049
[19] Deng F G, Li X H, Li C Y, Zhou P and Zhou H Y 2005 Phys. Rev. A 72 044301
[20] Deng F G, Li C Y , Li Y S, Zhou H Y and Wang Y 2005 Phys. Rev. A 72 022338
[21] Wang C, Deng F G, Li Y S, Liu X S and Long G L 2005 Phys. Rev. A 71 044305
[22] Li X H, Deng F G and Zhou H Y 2007 Chin. Phys. Lett. 24 1151
[23] Sun Y, Du J Z, Qin S J, Wen Q Y and Zhu F C 2008 Acta Phys. Sin. 57 4689 (in Chinese)
[24] Yang Y G and Wen Q Y 2009 Phys. Lett. A 373 396
[25] Yu Y F and Zhang Z M 2009 Chin. Phys. B 18 1342
[26] Song T T, Zhang J, Gao F, Wen Q Y and Zhu F C 2009 Chin. Phys. B 18 1333
[27] Wang C and Zhang Y 2009 Chin. Phys. B 18 3238
[28] Gu B, Li C Q, Xu F and Chen Y L 2009 Chin. Phys. B 18 4690
[29] Yang Y G, Cao W F and Wen Q Y 2010 Chin. Phys. B 19 050306
[30] Yeo Y and Chua W K 2006 Phys. Rev. Lett. 96 060502
[31] Wang X W and Yang G J 2008 Phys. Rev. A 78 024301
[32] Cai Q Y 2006 Phys. Lett. A 351 23
[33] Li X H, Deng F G and Zhou H Y 2006 Phys. Rev. A 74 054302
[34] Zhu Z C, Zhang Y Q and Fu A M 2011 Chin. Phys. B 20 40306
[35] Gao F, Qin S J, Guo F Z and Wen Q Y 2011 IEEE J. Quant. Electron. 47 630
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