Security proof of counterfactual quantum cryptography against general intercept-resend attacks and its vulnerability

doi:10.1088/1674-1056/21/6/060303

中国物理B ›› 2012, Vol. 21 ›› Issue (6): 60303-060303.doi: 10.1088/1674-1056/21/6/060303

Security proof of counterfactual quantum cryptography against general intercept-resend attacks and its vulnerability

张盛, 王剑, 唐朝京

School of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China

收稿日期:2011-10-23 修回日期:2012-01-04 出版日期:2012-05-01 发布日期:2012-05-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 60872052).

Security proof of counterfactual quantum cryptography against general intercept-resend attacks and its vulnerability

Zhang Sheng(张盛)^†, Wang Jian(王剑), and Tang Chao-Jing(唐朝京)

School of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China

Received:2011-10-23 Revised:2012-01-04 Online:2012-05-01 Published:2012-05-01
Contact: Zhang Sheng E-mail:shengzhcn@gmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 60872052).

摘要/Abstract

摘要： Counterfactual quantum cryptography, recently proposed by Noh, is featured with no transmission of signal particles. This exhibits evident security advantages, such as its immunity to the well-known photon-number-splitting attack. In this paper, the theoretical security of counterfactual quantum cryptography protocol against the general intercept-resend attacks is proved by bounding the information of an eavesdropper Eve more tightly than in Yin's proposal [Phys. Rev. A 82 042335 (2010)]. It is also shown that practical counterfactual quantum cryptography implementations may be vulnerable when equipped with imperfect apparatuses, by proving that a negative key rate can be achieved when Eve launches a time-shift attack based on imperfect detector efficiency.

关键词: quantum cryptography, quantum counterfactuality, quantum information

Abstract: Counterfactual quantum cryptography, recently proposed by Noh, is featured with no transmission of signal particles. This exhibits evident security advantages, such as its immunity to the well-known photon-number-splitting attack. In this paper, the theoretical security of counterfactual quantum cryptography protocol against the general intercept-resend attacks is proved by bounding the information of an eavesdropper Eve more tightly than in Yin's proposal [Phys. Rev. A 82 042335 (2010)]. It is also shown that practical counterfactual quantum cryptography implementations may be vulnerable when equipped with imperfect apparatuses, by proving that a negative key rate can be achieved when Eve launches a time-shift attack based on imperfect detector efficiency.

Key words: quantum cryptography, quantum counterfactuality, quantum information

中图分类号: (Quantum cryptography and communication security)

03.67.Dd

03.67.Hk (Quantum communication) 42.50.Ex (Optical implementations of quantum information processing and transfer)

张盛, 王剑, 唐朝京. Security proof of counterfactual quantum cryptography against general intercept-resend attacks and its vulnerability[J]. 中国物理B, 2012, 21(6): 60303-060303.

Zhang Sheng(张盛), Wang Jian(王剑), and Tang Chao-Jing(唐朝京) . Security proof of counterfactual quantum cryptography against general intercept-resend attacks and its vulnerability[J]. Chin. Phys. B, 2012, 21(6): 60303-060303.

参考文献 19

[1]	Bennett C H and Brassard G 1984 Proceedings of IEEE International Conference on Computers, Systems and Signal Processing, December 9-12, 1984, Bangalore, India, p. 175
[2]	Ekert A K 1991 Phys. Rev. Lett. 67 661
[3]	Gisin N, Ribordy G, Tittel W and Zbinden H 2002 Rev. Mod. Phys. 74 145
[4]	Gottesman D, Lo H K, Lütkenhaus N and Preskill J 2004 Quantum Infor. Comput. 4 325
[5]	Stucki D, Gisin N, Guinnard O, Robordy G and Zbinden H 2002 New J. Phys. 4 41
[6]	Zhao Y, Qi B, Ma X, Lo H K and Qian L 2006 Phys. Rev. Lett. 96 070502
[7]	Zhao Y, Qi B, Ma X, Lo H K and Qian L 2006 Proceedings of IEEE International Symposium of Information Theory July 9-14, 2006, Seattle, Washington, USA p. 2094
[8]	Elliot C, Pearson D and Troxel G 2003 Proceeding of the Conference on Applications, Technologies, Architectures, and Protocols for Computer Communications August 25-29, 2003, Karlsruhe, Germany p. 227
[9]	Zhao Y, Qi B, Ma X, Lo H K and Qian L 2006 Phys. Rev. Lett. 96 070502
[10]	Xu F X, Chen W, Wang S, Yin Z Q, Zhang Y, Liu Y, Zhou Z, Zhao Y B, Li H W, Liu D, Han Z F and Guo G C 2008 Chin. Sci. Bull. 54 2991
[11]	Noh T G 2009 Phys. Rev. Lett. 103 230501
[12]	Elitzur A C and Vaidman L 1993 Found. Phys. 23 987
[13]	Vaidman L 2007 Phys. Rev. Lett. 98 160403
[14]	Yin Z Q, Li H W, Chen W and Han Z F 2010 Phys. Rev. A 82 042335
[15]	Shor P W and Preskill J 2000 Phys. Rev. Lett. 85 441
[16]	Makarov V, Anisimov A and Skaar J 2006 Phys. Rev. A 74 441
[17]	Makarov V 2008 Quantum Infor. Comput. 8 622
[18]	Fung C H F, Qi B, Tamaki K and Lo H K 2007 Quantum Infor. Comput. 7 73
[19]	Fung C H F, Qi B, Tamaki K and Lo H K 2007 Phys. Rev. A 75 032314

Security proof of counterfactual quantum cryptography against general intercept-resend attacks and its vulnerability

Security proof of counterfactual quantum cryptography against general intercept-resend attacks and its vulnerability

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