Skip to main content
Top
Published in: Quantum Information Processing 6/2016

01-06-2016

Arbitrated quantum signature scheme based on cluster states

Authors: Yu-Guang Yang, He Lei, Zhi-Chao Liu, Yi-Hua Zhou, Wei-Min Shi

Published in: Quantum Information Processing | Issue 6/2016

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Cluster states can be exploited for some tasks such as topological one-way computation, quantum error correction, teleportation and dense coding. In this paper, we investigate and propose an arbitrated quantum signature scheme with cluster states. The cluster states are used for quantum key distribution and quantum signature. The proposed scheme can achieve an efficiency of 100 %. Finally, we also discuss its security against various attacks.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Footnotes
1
As we know, some papers have proved that certain QOTPs used in quantum signature may induce security problems. For example, in 2011, Gao et al. proposed a cryptanalysis of AQS [23]. They pointed out that the QOTP used in AQS cannot prevent the receiver’s forgery of the signature, because the encryption operators are based on Pauli operations which commute with each other. In addition, the signer can successfully disavow any of her signatures by simple attack. Later, Choi et al. [26] provided an improved idea to prevent the receiver’s Pauli forgery attack. In Choi et al.’s improvement, an assistant operation H is introduced to make the new encryption operator as \(P_i H\), where \(P_i \) represents the encryption operator of QOTP. Since Choi et al.’s encryption set destroys the commutativity of the encryption operators and satisfies the requirement for an optimal encryption. Therefore, here we should be careful to choose the encryption algorithm.
 
Literature
1.
go back to reference Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH
2.
go back to reference Shor, P. W.: Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings of the 35th Annual Symposium of Foundation of Computer Science (1994) Shor, P. W.: Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings of the 35th Annual Symposium of Foundation of Computer Science (1994)
5.
go back to reference Cao, Z.J., Markowitch, O.: A note on an arbitrated quantum signature scheme. Int. J. Quantum Inf. 7(6), 1205–1209 (2009)CrossRefMATH Cao, Z.J., Markowitch, O.: A note on an arbitrated quantum signature scheme. Int. J. Quantum Inf. 7(6), 1205–1209 (2009)CrossRefMATH
7.
8.
go back to reference Zou, X.F., Qiu, D.W.: Security analysis and improvements of arbitrated quantum signature schemes. Phys. Rev. A 82, 042325 (2010)ADSCrossRef Zou, X.F., Qiu, D.W.: Security analysis and improvements of arbitrated quantum signature schemes. Phys. Rev. A 82, 042325 (2010)ADSCrossRef
9.
go back to reference Yang, Y.-G., Wen, Q.-Y.: Arbitrated quantum signature of classical messages against collective amplitude damping noise. Opt. Commun. 283(16), 3198–3201 (2010)ADSCrossRef Yang, Y.-G., Wen, Q.-Y.: Arbitrated quantum signature of classical messages against collective amplitude damping noise. Opt. Commun. 283(16), 3198–3201 (2010)ADSCrossRef
10.
go back to reference Wen, X.J., Niu, X.M., Ji, L.P., Tian, Y.: A weak blind signature scheme based on quantum cryptography. Opt. Commun. 282(4), 666–669 (2009)ADSCrossRef Wen, X.J., Niu, X.M., Ji, L.P., Tian, Y.: A weak blind signature scheme based on quantum cryptography. Opt. Commun. 282(4), 666–669 (2009)ADSCrossRef
11.
go back to reference Wang, T.-Y., Wen, Q.: Fair quantum blind signatures. Chin. Phys. B 19(6), 060307 (2010)ADSCrossRef Wang, T.-Y., Wen, Q.: Fair quantum blind signatures. Chin. Phys. B 19(6), 060307 (2010)ADSCrossRef
12.
go back to reference Yin, X.-R., Ma, W.-P., Liu, W.-Y.: A blind quantum signature scheme with \(\chi \)-type entangled states. Int. J. Theor. Phys. 51(2), 455–461 (2012)MathSciNetCrossRefMATH Yin, X.-R., Ma, W.-P., Liu, W.-Y.: A blind quantum signature scheme with \(\chi \)-type entangled states. Int. J. Theor. Phys. 51(2), 455–461 (2012)MathSciNetCrossRefMATH
13.
go back to reference Lou, X.P., Chen, Z.G., Guo, Y.: A weak quantum blind signature with entanglement permutation. Int. J. Theor. Phys. 54(9), 3283–3292 (2015)MathSciNetCrossRefMATH Lou, X.P., Chen, Z.G., Guo, Y.: A weak quantum blind signature with entanglement permutation. Int. J. Theor. Phys. 54(9), 3283–3292 (2015)MathSciNetCrossRefMATH
14.
go back to reference Yang, Y.-G.: Multi-proxy quantum group signature scheme with threshold shared verification. Chin. Phys. B 17(2), 415–418 (2008)ADSCrossRef Yang, Y.-G.: Multi-proxy quantum group signature scheme with threshold shared verification. Chin. Phys. B 17(2), 415–418 (2008)ADSCrossRef
15.
16.
go back to reference Shi, J.J., Shi, R.H., Guo, Y., Peng, X.Q., Tang, Y.: Batch proxy quantum blind signature scheme. Sci. Chin. Inf. Sci. 56(5), 052115 (2013)MathSciNetCrossRef Shi, J.J., Shi, R.H., Guo, Y., Peng, X.Q., Tang, Y.: Batch proxy quantum blind signature scheme. Sci. Chin. Inf. Sci. 56(5), 052115 (2013)MathSciNetCrossRef
17.
go back to reference Wen, X.J., Tian, Y., Ji, L.P., Niu, X.M.: A group signature scheme based on quantum teleportation. Phys. Scr. 81(5), 055001 (2010)ADSCrossRefMATH Wen, X.J., Tian, Y., Ji, L.P., Niu, X.M.: A group signature scheme based on quantum teleportation. Phys. Scr. 81(5), 055001 (2010)ADSCrossRefMATH
18.
go back to reference Xu, R., Huang, L.S., Yang, W., He, L.B.: Quantum group blind signature scheme without entanglement. Opt. Commun. 284(14), 3654–3658 (2011)ADSCrossRef Xu, R., Huang, L.S., Yang, W., He, L.B.: Quantum group blind signature scheme without entanglement. Opt. Commun. 284(14), 3654–3658 (2011)ADSCrossRef
19.
go back to reference Yang, Y.-G., Wen, Q.-Y.: Quantum threshold group signature. Sci. Chin. Ser. G Phys. Astron. 51(10), 1505–1514 (2008)CrossRef Yang, Y.-G., Wen, Q.-Y.: Quantum threshold group signature. Sci. Chin. Ser. G Phys. Astron. 51(10), 1505–1514 (2008)CrossRef
22.
go back to reference Hwang, T., Luo, Y.P., Chong, S.K.: Comment on “security analysis and improvements of arbitrated quantum signature schemes”. Phys. Rev. A 85, 056301 (2012)ADSCrossRef Hwang, T., Luo, Y.P., Chong, S.K.: Comment on “security analysis and improvements of arbitrated quantum signature schemes”. Phys. Rev. A 85, 056301 (2012)ADSCrossRef
23.
go back to reference Gao, F., Qin, S.J., Guo, F.Z., Wen, Q.Y.: Cryptanalysis of the arbitrated quantum signature protocols. Phys. Rev. A 84(2), 022344 (2011)ADSCrossRef Gao, F., Qin, S.J., Guo, F.Z., Wen, Q.Y.: Cryptanalysis of the arbitrated quantum signature protocols. Phys. Rev. A 84(2), 022344 (2011)ADSCrossRef
24.
go back to reference Li, Q., Du, R.G., Long, D.Y., Wang, C.J., Chan, W.H.: Entanglement enhances the security of arbitrated quantum signature. Int. J. Quantum Inf. 7(5), 913–925 (2009)CrossRefMATH Li, Q., Du, R.G., Long, D.Y., Wang, C.J., Chan, W.H.: Entanglement enhances the security of arbitrated quantum signature. Int. J. Quantum Inf. 7(5), 913–925 (2009)CrossRefMATH
25.
go back to reference Li, Q., Li, C.Q., Wen, Z.H., Zhao, W.Z., Chan, W.H.: On the security of arbitrated quantum signature schemes. J. Phys. A Math. Theor. 46(1), 015307 (2013)ADSMathSciNetCrossRefMATH Li, Q., Li, C.Q., Wen, Z.H., Zhao, W.Z., Chan, W.H.: On the security of arbitrated quantum signature schemes. J. Phys. A Math. Theor. 46(1), 015307 (2013)ADSMathSciNetCrossRefMATH
26.
go back to reference Choi, J.W., Chang, K.Y., Hong, D.: Security problem on arbitrated quantum signature schemes. Phys. Rev. A 84(6), 062330 (2011)ADSCrossRef Choi, J.W., Chang, K.Y., Hong, D.: Security problem on arbitrated quantum signature schemes. Phys. Rev. A 84(6), 062330 (2011)ADSCrossRef
27.
go back to reference Zuo, H.J., Huang, W., Qin, S.J.: Arbitrated quantum signature scheme based on \(\chi \)-type entangled states. Phys. Scr. 88, 045001 (2013)ADSCrossRef Zuo, H.J., Huang, W., Qin, S.J.: Arbitrated quantum signature scheme based on \(\chi \)-type entangled states. Phys. Scr. 88, 045001 (2013)ADSCrossRef
28.
go back to reference Li, Q., Li, C.Q., Long, D.Y., et al.: Efficient arbitrated quantum signature and its proof of security. Quantum Inf. Process. 12(7), 2427 (2013)ADSMathSciNetCrossRefMATH Li, Q., Li, C.Q., Long, D.Y., et al.: Efficient arbitrated quantum signature and its proof of security. Quantum Inf. Process. 12(7), 2427 (2013)ADSMathSciNetCrossRefMATH
29.
go back to reference Liu, F., Qin, S.-J., Su, Q.: An arbitrated quantum signature scheme with fast signing and verifying. Quantum Inf. Process. 13(2), 491–502 (2014)CrossRefMATH Liu, F., Qin, S.-J., Su, Q.: An arbitrated quantum signature scheme with fast signing and verifying. Quantum Inf. Process. 13(2), 491–502 (2014)CrossRefMATH
30.
go back to reference Briegel, H.J., Raussendorf, R.: Persistent entanglement in arrays of interacting particles. Phys. Rev. Lett. 86, 910–913 (2001)ADSCrossRef Briegel, H.J., Raussendorf, R.: Persistent entanglement in arrays of interacting particles. Phys. Rev. Lett. 86, 910–913 (2001)ADSCrossRef
31.
go back to reference Raussendorf, R., Harrington, J.: Fault-tolerant quantum computation with high threshold in two dimensions. Phys. Rev. Lett. 98, 190504 (2007)ADSCrossRef Raussendorf, R., Harrington, J.: Fault-tolerant quantum computation with high threshold in two dimensions. Phys. Rev. Lett. 98, 190504 (2007)ADSCrossRef
32.
go back to reference Hein, M., Dur, W., Briegel, H.J.: Entanglement properties of multipartite entangled states under the influence of decoherence. Phys. Rev. A 71, 032350 (2005)ADSCrossRef Hein, M., Dur, W., Briegel, H.J.: Entanglement properties of multipartite entangled states under the influence of decoherence. Phys. Rev. A 71, 032350 (2005)ADSCrossRef
33.
go back to reference Dur, W., Briegel, H.J.: Stability of macroscopic entanglement under decoherence. Phys. Rev. Lett. 92, 180403 (2004)ADSCrossRef Dur, W., Briegel, H.J.: Stability of macroscopic entanglement under decoherence. Phys. Rev. Lett. 92, 180403 (2004)ADSCrossRef
34.
go back to reference Muralidharan, S.: Quantum-information splitting using multipartite cluster states. Phys. Rev. A 78, 062333 (2008)ADSCrossRef Muralidharan, S.: Quantum-information splitting using multipartite cluster states. Phys. Rev. A 78, 062333 (2008)ADSCrossRef
36.
go back to reference Schlingemann, D., Werner, R.F.: Quantum error-correcting codes associated with graphs. Phys. Rev. A 65, 012308 (2001)ADSCrossRef Schlingemann, D., Werner, R.F.: Quantum error-correcting codes associated with graphs. Phys. Rev. A 65, 012308 (2001)ADSCrossRef
39.
40.
go back to reference Cao, W.F., Yang, Y.G., Wen, Q.Y.: Quantum secure direct communication with cluster states. Sci. Chin. Ser. G Phys. Astron. 53(7), 1271–1275 (2010)ADSCrossRef Cao, W.F., Yang, Y.G., Wen, Q.Y.: Quantum secure direct communication with cluster states. Sci. Chin. Ser. G Phys. Astron. 53(7), 1271–1275 (2010)ADSCrossRef
41.
go back to reference Zou, X.B., Mathis, W.: Schemes for generating the cluster states in microwave cavity QED. Phys. Rev. A 72, 013809 (2005)ADSCrossRef Zou, X.B., Mathis, W.: Schemes for generating the cluster states in microwave cavity QED. Phys. Rev. A 72, 013809 (2005)ADSCrossRef
42.
go back to reference You, J.Q., Wang, X.-B., Tanamoto, T., Nori, F.: Efficient one-step generation of large cluster states with solid-state circuits. Phys. Rev. A 75, 052319 (2007)ADSCrossRef You, J.Q., Wang, X.-B., Tanamoto, T., Nori, F.: Efficient one-step generation of large cluster states with solid-state circuits. Phys. Rev. A 75, 052319 (2007)ADSCrossRef
43.
go back to reference Lu, C.Y., Zhou, X.Q., Ghne, O., Gao, W.B., Zhang, J., Yuan, Z.S., Goebel, A., Yang, T., Pan, J.W.: Experimental entanglement of six photons in graph states. Nature 3, 91–95 (2007) Lu, C.Y., Zhou, X.Q., Ghne, O., Gao, W.B., Zhang, J., Yuan, Z.S., Goebel, A., Yang, T., Pan, J.W.: Experimental entanglement of six photons in graph states. Nature 3, 91–95 (2007)
44.
Metadata
Title
Arbitrated quantum signature scheme based on cluster states
Authors
Yu-Guang Yang
He Lei
Zhi-Chao Liu
Yi-Hua Zhou
Wei-Min Shi
Publication date
01-06-2016
Publisher
Springer US
Published in
Quantum Information Processing / Issue 6/2016
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-016-1293-0

Other articles of this Issue 6/2016

Quantum Information Processing 6/2016 Go to the issue