Abstract
The security of a multi-user quantum communication network protocol using χ-type entangled states (Chang et al., J. Korean Phys. Soc. 61:1–5, 2012) is analyzed. We find that, by using one χ-type state in this protocol, two participants can only share 2 bits of information, not 4 bits as the authors stated. In addition, we give a special attack strategy by which an eavesdropper can elicit half of the secret information without being detected. Finally, we improve the protocol to be secure against all the present attacks.
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References
Gisin, N., Ribordy, G., Tittel, W., et al.: Quantum cryptography. Rev. Mod. Phys. 74, 145 (2002)
Bennett, C.H., Brassard, G.: In: Proc. IEEE Int. Conf. on Computers, Systems and Signal Processing, Bangalore, India, pp. 175–179. IEEE Press, New York (1984)
Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65, 032302 (2002)
Liu, B., Gao, F., Wen, Q.Y.: Single-photon multiparty quantum cryptographic protocols with collective detection. IEEE J. Quantum Electron. 47, 1389–1390 (2011)
Gao, F., Guo, F.Z., Wen, Q.Y., Zhu, F.C.: On the information-splitting essence of two types of quantum key distribution protocols. Phys. Lett. A 355, 172 (2006)
Hillery, M., Buzěk, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829–1834 (1999)
Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59, 162–168 (1999)
Qin, S.J., Gao, F., Wen, Q.Y., Zhu, F.C.: Security of quantum secret sharing with two-particle entanglement against individual attacks. Quantum Inf. Comput. 9, 0765–0772 (2009)
Liu, B., Gao, F., Wen, Q.Y.: Eavesdropping and improvement to multiparty quantum secret sharing with collective eavesdropping-check. Int. J. Theor. Phys. 51, 1211–1223 (2012)
Boström, K., Felbinger, T.: Deterministic secure direct communication using entanglement. Phys. Rev. Lett. 89, 187902 (2002)
Cai, Q.Y.: The “ping-pong” protocol can be attacked without eavesdropping. Phys. Rev. Lett. 91, 109801 (2003)
Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block. Phys. Rev. A 68, 042317 (2003)
Huang, W., Wen, Q.Y., Liu, B., Gao, F., Chen, H.: Deterministic secure quantum communication with collective detection using single photons. Int. J. Theor. Phys. 51, 2787–2797 (2012)
Yeo, Y., Chua, W.K.: Teleportation and dense coding with genuine multipartite entanglement. Phys. Rev. Lett. 96, 060502 (2006)
Wang, X.W., Yang, G.J.: Generation and discrimination of a type of four-partite entangled state. Phys. Rev. A 78, 024301 (2008)
Lin, S., Wen, Q.Y., Zhu, F.C.: Quantum secure direct communication with χ-type entangled states. Phys. Rev. A 78, 064304 (2008)
Gao, G.: Quantum key distribution by swapping the entanglement of χ-type state. Phys. Scr. 81, 065005 (2010)
Xiu, X.M., Dong, L., Gao, Y.J.: Secure four-site distribution and quantum communication of χ-type entangled states. Opt. Commun. 284, 2065–2069 (2011)
Liu, W., Wang, Y.B., Jiang, Z.T., Cao, Y.Z., Cui, W.: New quantum private comparison protocol using χ-type state. Int. J. Theor. Phys. 51, 1953–1960 (2012)
Jia, H.Y., Wen, Q.Y., Li, Y.B., Gao, F.: Quantum private comparison using genuine four-particle entangled states. Int. J. Theor. Phys. 51, 1187–1194 (2012)
Yang, Y.G., Cao, W.F., Wen, Q.Y.: Three-party quantum secret sharing of secure direct communication based on χ-type entangled states. Chin. Phys. B 19, 050306 (2010)
Shen, H.W., Wang, H.F., Ji, X., Zhang, S.: Generation of a χ-type four-atom entangled state. Chin. Phys. B 18, 3706–3709 (2009)
Chang, H.H., Jin, O.H., Jong, I.L.: Multi-user quantum network system and quantum communication using χ-type entangled states. J. Korean Phys. Soc. 61, 1–5 (2012)
Gao, F., Qin, S.J., Wen, Q.Y., Zhu, F.C.: One-time pads cannot be used to improve the efficiency of quantum communication. Phys. Lett. A 365, 387 (2007)
Gao, F., Wen, Q.Y., Zhu, F.C.: Comment on: “Quantum exam”. Phys. Lett. A 360, 748 (2007)
Qin, S.J., Gao, F., Guo, F.Z., Wen, Q.Y.: Comment on “Two-way protocols for quantum cryptography with a nonmaximally entangled qubit pair”. Phys. Rev. A 82, 036301 (2010)
Gao, F., Qin, S.J., Wen, Q.Y., Zhu, F.C.: Cryptanalysis of multiparty controlled quantum secure direct communication using Greenberger-Horne-Zeilinger state. Opt. Commun. 283, 192 (2010)
Qin, S.J., Gao, F., Wen, Q.Y., Meng, L.M., Zhu, F.C.: Cryptanalysis and improvement of a DSQC using four-particle entangled state and entanglement swapping. Opt. Commun. 282, 4017–4019 (2009)
Gao, F., Guo, F.Z., Wen, Q.Y., Zhu, F.C.: Comment on “Quantum secret sharing based on reusable Greenberger-Horne-Zeilinger states as secure carriers”. Phys. Rev. A 72, 036302 (2005)
Qin, S.J., Wen, Q.Y., Meng, L.M., Zhu, F.C.: Comment on “Controlled DSQC using five-qubit entangled states and two-step security test”. Opt. Commun. 282, 2656 (2009)
Acknowledgements
This work is supported by NSFC (Grant Nos. 61272057, 61170270, 61100203, 61003286, 61121061), NCET (Grant No. NCET-10-0260), SRFDP (Grant No. 20090005110010), Beijing Natural Science Foundation (Grant Nos. 4112040, 4122054), the Fundamental Research Funds for the Central Universities (Grant No. 2011YB01), BUPT Excellent Ph.D. Students Foundation (Grant No. CX201217).
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Huang, W., Zuo, HJ. & Li, YB. Cryptanalysis and Improvement of a Multi-User Quantum Communication Network Using χ-Type Entangled States. Int J Theor Phys 52, 1354–1361 (2013). https://doi.org/10.1007/s10773-012-1452-8
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DOI: https://doi.org/10.1007/s10773-012-1452-8