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Published in: Quantum Information Processing 7/2017

01-07-2017

Multi-party quantum key agreement protocol secure against collusion attacks

Authors: Ping Wang, Zhiwei Sun, Xiaoqiang Sun

Published in: Quantum Information Processing | Issue 7/2017

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Abstract

The fairness of a secure multi-party quantum key agreement (MQKA) protocol requires that all involved parties are entirely peer entities and can equally influence the outcome of the protocol to establish a shared key wherein no one can decide the shared key alone. However, it is found that parts of the existing MQKA protocols are sensitive to collusion attacks, i.e., some of the dishonest participants can collaborate to predetermine the final key without being detected. In this paper, a multi-party QKA protocol resisting collusion attacks is proposed. Different from previous QKA protocol resisting \(N-1\) coconspirators or resisting 1 coconspirators, we investigate the general circle-type MQKA protocol which can be secure against t dishonest participants’ cooperation. Here, \(t < N\). We hope the results of the presented paper will be helpful for further research on fair MQKA protocols.

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Footnotes
1
For the single state, it can be considered as the entangled states where parts of them \(R_{i}\) have already been measured.
 
2
For the single state, it can be considered as the entangled states where parts of them have already been measured.
 
Literature
1.
go back to reference Shor, P.W.: Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings of 35th Annual Symposium on the Foundations of Computer Science, pp. 124–134 (1994) Shor, P.W.: Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings of 35th Annual Symposium on the Foundations of Computer Science, pp. 124–134 (1994)
3.
go back to reference Du, R.G., Sun, Z.W., Wang, B.H., Long, D.Y.: Quantum secret sharing of secure direct communication using one-time pad. Int. J. Theor. Phys. 51, 2727–2736 (2012)MathSciNetCrossRefMATH Du, R.G., Sun, Z.W., Wang, B.H., Long, D.Y.: Quantum secret sharing of secure direct communication using one-time pad. Int. J. Theor. Phys. 51, 2727–2736 (2012)MathSciNetCrossRefMATH
4.
go back to reference Sun, Z.W., Du, R.G., Long, D.Y.: Quantum secure direct communication with quantum identification. Int. J. Quantum Inf. 10, 1250008 (2012)MathSciNetCrossRefMATH Sun, Z.W., Du, R.G., Long, D.Y.: Quantum secure direct communication with quantum identification. Int. J. Quantum Inf. 10, 1250008 (2012)MathSciNetCrossRefMATH
5.
go back to reference Sun, Z.W., Du, R.G., Long, D.Y.: Quantum secure direct communication with two-photon four-qubit cluster state. Int. J. Theor. Phys. 51, 1946–1952 (2012)CrossRefMATH Sun, Z.W., Du, R.G., Long, D.Y.: Quantum secure direct communication with two-photon four-qubit cluster state. Int. J. Theor. Phys. 51, 1946–1952 (2012)CrossRefMATH
6.
go back to reference Liu, W.J., Liu, C., Liu, Z.H., Liu, J.F., Geng, H.T.: Same initial states attack in Yang et al’s quantum private comparison protocol and the improvement. Int. J. Theor. Phys. 53(1), 271–276 (2014)CrossRefMATH Liu, W.J., Liu, C., Liu, Z.H., Liu, J.F., Geng, H.T.: Same initial states attack in Yang et al’s quantum private comparison protocol and the improvement. Int. J. Theor. Phys. 53(1), 271–276 (2014)CrossRefMATH
7.
go back to reference Liu, W.-J., Liu, C., Chen, H.-W., Liu, Z.-H., Yuan, M.-X., Lu, J.-S.: Improvement on “an efficient protocol for the quantum private comparison of equality with W state”. Int. J. Quantum. Inf. 12(01), 1450001 (2014)MathSciNetCrossRefMATH Liu, W.-J., Liu, C., Chen, H.-W., Liu, Z.-H., Yuan, M.-X., Lu, J.-S.: Improvement on “an efficient protocol for the quantum private comparison of equality with W state”. Int. J. Quantum. Inf. 12(01), 1450001 (2014)MathSciNetCrossRefMATH
8.
go back to reference Liu, W.J., Liu, C., Chen, H.W., Li, Z.Q.: Cryptanalysis and improvement of quantum private comparison protocol based on Bell entangled states. Commun. Theor. Phys. 62(2), 210–214 (2014)ADSMathSciNetCrossRefMATH Liu, W.J., Liu, C., Chen, H.W., Li, Z.Q.: Cryptanalysis and improvement of quantum private comparison protocol based on Bell entangled states. Commun. Theor. Phys. 62(2), 210–214 (2014)ADSMathSciNetCrossRefMATH
9.
10.
go back to reference Sun, Z.W., Yu, J.P., Wang, P., Xu, L.L., Wu, C.H.: Quantum private comparison with a malicious third party. Quantum Inf. Process. 14(6), 2125–2133 (2015)ADSCrossRefMATH Sun, Z.W., Yu, J.P., Wang, P., Xu, L.L., Wu, C.H.: Quantum private comparison with a malicious third party. Quantum Inf. Process. 14(6), 2125–2133 (2015)ADSCrossRefMATH
11.
go back to reference Sun, Z., Jianping, Y., Wang, P., Lingling, X.: Symmetrically private information retrieval based on blind quantum computing. Phys. Rev. A 91, 052303 (2015)ADSCrossRef Sun, Z., Jianping, Y., Wang, P., Lingling, X.: Symmetrically private information retrieval based on blind quantum computing. Phys. Rev. A 91, 052303 (2015)ADSCrossRef
12.
go back to reference Zhou, N., Zeng, G., Xiong, J.: Quantum key agreement protocol. Electron. Lett. 40(18), 1149 (2004)CrossRef Zhou, N., Zeng, G., Xiong, J.: Quantum key agreement protocol. Electron. Lett. 40(18), 1149 (2004)CrossRef
13.
go back to reference Tsai, C., Hwang, T.: On quantum key agreement protocol. Technical Report, C-S-I-E, NCKU, Taiwan, R.O.C (2009) Tsai, C., Hwang, T.: On quantum key agreement protocol. Technical Report, C-S-I-E, NCKU, Taiwan, R.O.C (2009)
14.
go back to reference Chong, S.K., Tsai, C.W., Hwang, T.: Improvement on quantum key agreement protocol with maximally entangled states. Int. J. Theor. Phys. 50(6), 1793–1802 (2011)CrossRefMATH Chong, S.K., Tsai, C.W., Hwang, T.: Improvement on quantum key agreement protocol with maximally entangled states. Int. J. Theor. Phys. 50(6), 1793–1802 (2011)CrossRefMATH
15.
go back to reference Chong, S.K., Hwang, T.: Quantum key agreement protocol based on BB84. Opt. Commun. 283(6), 1192–1195 (2010)ADSCrossRef Chong, S.K., Hwang, T.: Quantum key agreement protocol based on BB84. Opt. Commun. 283(6), 1192–1195 (2010)ADSCrossRef
16.
go back to reference Huang, W., Wen, Q.Y., Liu, B., Gao, F., Sun, Y.: Quantum key agreement with EPR pairs and single particle measurements. Quantum Inf. Process. 13(3), 649–663 (2014)MathSciNetCrossRefMATH Huang, W., Wen, Q.Y., Liu, B., Gao, F., Sun, Y.: Quantum key agreement with EPR pairs and single particle measurements. Quantum Inf. Process. 13(3), 649–663 (2014)MathSciNetCrossRefMATH
17.
go back to reference Dongsu, S., Wenping, M., Lili, W.: Two-party quantum key agreement with four-qubit cluster states. Quantum Inf. Process. 13, 2313 (2014)MathSciNetCrossRef Dongsu, S., Wenping, M., Lili, W.: Two-party quantum key agreement with four-qubit cluster states. Quantum Inf. Process. 13, 2313 (2014)MathSciNetCrossRef
18.
19.
20.
21.
go back to reference Sun, Z., Wang, B., Li, Q., Long, D.: Improvements on multiparty quantum key agreement with single particles. Quantum Inf. Process. 12, 3411 (2013)ADSMathSciNetCrossRefMATH Sun, Z., Wang, B., Li, Q., Long, D.: Improvements on multiparty quantum key agreement with single particles. Quantum Inf. Process. 12, 3411 (2013)ADSMathSciNetCrossRefMATH
22.
go back to reference Yin, X.R., Ma, W.P., Liu, W.Y.: Three-party quantum key agreement with two-photon entanglement. Int. J. Theor. Phys. 52, 3915–3921 (2013)MathSciNetCrossRefMATH Yin, X.R., Ma, W.P., Liu, W.Y.: Three-party quantum key agreement with two-photon entanglement. Int. J. Theor. Phys. 52, 3915–3921 (2013)MathSciNetCrossRefMATH
23.
go back to reference Yin, X.R., Wen, W.P., Shen, D.S., et al.: Three-party quantum key agreement with Bell states. Acta Phys. Sin. 62(17), 170304 (2013) Yin, X.R., Wen, W.P., Shen, D.S., et al.: Three-party quantum key agreement with Bell states. Acta Phys. Sin. 62(17), 170304 (2013)
24.
go back to reference Chitra, S., Nasir, A., Anirban, P.: Protocols of quantum key agreement solely using Bell states and Bell measurement. Quantum Inf. Process. 13, 2391–2405 (2014)MathSciNetCrossRefMATH Chitra, S., Nasir, A., Anirban, P.: Protocols of quantum key agreement solely using Bell states and Bell measurement. Quantum Inf. Process. 13, 2391–2405 (2014)MathSciNetCrossRefMATH
25.
go back to reference Zhu, Z.C., Hu, A.Q., Fu, A.M.: Improving the security of protocols of quantum key agreement solely using Bell measurement. Quantum Inf. Process. 14(11), 4245–4254 (2015)ADSMathSciNetCrossRefMATH Zhu, Z.C., Hu, A.Q., Fu, A.M.: Improving the security of protocols of quantum key agreement solely using Bell measurement. Quantum Inf. Process. 14(11), 4245–4254 (2015)ADSMathSciNetCrossRefMATH
26.
27.
go back to reference Sun, Z., Zhang, C., Wang, P., Yu, J., Zhang, Y., Long, D.: Multi-party quantum key agreement by an entanglement six-qubit state. Int. J. Theor. Phys. 55(3), 1920–1929 (2015)CrossRefMATH Sun, Z., Zhang, C., Wang, P., Yu, J., Zhang, Y., Long, D.: Multi-party quantum key agreement by an entanglement six-qubit state. Int. J. Theor. Phys. 55(3), 1920–1929 (2015)CrossRefMATH
28.
go back to reference Sun, Z., Huang, J., Wang, P.: Efficient multiparty quantum key agreement protocol based on commutative encryption. Quantum Inf. Process. 15(5), 2101–2111 (2016)ADSMathSciNetCrossRefMATH Sun, Z., Huang, J., Wang, P.: Efficient multiparty quantum key agreement protocol based on commutative encryption. Quantum Inf. Process. 15(5), 2101–2111 (2016)ADSMathSciNetCrossRefMATH
29.
go back to reference Huang, W., Wen, Q.Y., Liu, B., et al.: Cryptanalysis of a multi-party quantum key agreement protocol with single particles. Quantum Inf. Process. 13(7), 1651–1657 (2014)ADSMathSciNetCrossRef Huang, W., Wen, Q.Y., Liu, B., et al.: Cryptanalysis of a multi-party quantum key agreement protocol with single particles. Quantum Inf. Process. 13(7), 1651–1657 (2014)ADSMathSciNetCrossRef
30.
go back to reference Liu, B., Di, X., Heng-Yue, J., Run-Zong, L.: Collusive attacks to circle-type multi-party quantum key agreement protocols. Quantum Inf. Process. 15(5), 2113–2124 (2016)ADSMathSciNetCrossRefMATH Liu, B., Di, X., Heng-Yue, J., Run-Zong, L.: Collusive attacks to circle-type multi-party quantum key agreement protocols. Quantum Inf. Process. 15(5), 2113–2124 (2016)ADSMathSciNetCrossRefMATH
31.
go back to reference Cabello, A.: Quantum key distribution in the Holevo limit. Phys. Rev. Lett. 85, 5633–5638 (2000)ADSCrossRef Cabello, A.: Quantum key distribution in the Holevo limit. Phys. Rev. Lett. 85, 5633–5638 (2000)ADSCrossRef
Metadata
Title
Multi-party quantum key agreement protocol secure against collusion attacks
Authors
Ping Wang
Zhiwei Sun
Xiaoqiang Sun
Publication date
01-07-2017
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2017
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-017-1621-z

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