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Quantum Signature Scheme Using a Single Qubit Rotation Operator

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Abstract

We present a quantum signature scheme using a single qubit rotation operator. In this protocol, the trusted center confirms the quantum signature and thus conforms with other quantum signature schemes. Utilizing the unitary properties of a single qubit rotation operator and Pauli operators, our protocol provides signature security and enhances the efficiency of communication. In addition, our protocol – using only a single qubit measurement – facilitates the ease of implementation and enhances convenience for users. The security of the protocol is analyzed.

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References

  1. Shor, P.W.: Proceedings of 35nd annual symposium on foundations of computer science. IEEE Comput. Soc. Press. 124–134 (1994).

  2. Shor, P.W.: SIAM J. Comput. 26(5), 1484–1509 (1997).

    Article  MathSciNet  Google Scholar 

  3. Gisin, N., Ribordy, G., Tittel, W., Zbinden, H.: Mod. Phys. 74, 145 (2002).

    Article  ADS  Google Scholar 

  4. Dirac, P.: Principles of Quantum Mechanics. Oxford University Press, Oxford (1999).

    MATH  Google Scholar 

  5. Bennett, C.H., Brassard, G.: Proceedings of the IEEE International Conference on Computers. Syst. Signal Process. 175 (1984).

  6. Ekert, AK.: Phys. Rev. Lett. 67, 661–663 (1991).

    Article  ADS  MathSciNet  Google Scholar 

  7. Bennett, C.H.: Phys. Rev. Lett. 68, 3121–3124 (1992).

    Article  ADS  MathSciNet  Google Scholar 

  8. Bennett, C.H., Brassard, G., Mermin, N.D.: Phys. Rev. Lett. 68, 557–559 (1992).

    Article  ADS  MathSciNet  Google Scholar 

  9. Hong, C.H., Heo, J.O., Khym, G.L., Lim, J.I., Hong, S.K., Yang, H.J.: Opt. Commun. 283, 2644–2646 (2010).

    Article  ADS  Google Scholar 

  10. Bostrom, K., Felbinger, T.: Phys. Rev. Lett. 89, 187902 (2002).

    Article  ADS  Google Scholar 

  11. Hong, C.H., Lim, J.I., Kim, J.I., Yang, H.J.: J. Korean Phys. Soc. 56, 1733–1737 (2010).

    Article  Google Scholar 

  12. Hong, C.H., Heo, J., Lim, J.I., Yang, H.J.: Chin. Phys. Lett. 29, 050303 (2012).

    Article  Google Scholar 

  13. Hong, C.H., Heo, J., Lim, J.I., Yang, H.J.: J. Korean Phys. Soc. 61(1), 1–5 (2012).

    Article  ADS  Google Scholar 

  14. Jino, H., Hong, C.H., Lim, J.I., Yang, H.J.: Chinese Phys. Lett. 30, 040301 (2013).

    Article  ADS  Google Scholar 

  15. Hillery, M., Buzek, V., Berhiaume, A: Phys. Rev. A 59, 1829–1834 (1999).

    Article  ADS  MathSciNet  Google Scholar 

  16. Gottesman, D., Chuang, I.L.: e-print arXiv: 0105032.

  17. Buhrman, H., Crepeau, C., Gottesman, D., et al.: Authentication of Quantum Messages. IEEE Computer Society Press, Washington DC (2002).

    Google Scholar 

  18. Zeng, G.H., Keitel, C.H.: Phys. Rev. A 65, 042312 (2002).

    Article  ADS  Google Scholar 

  19. Curty, M., Lütkenhaus, N.: Phys. Rev. A 77, 046301 (2008).

    Article  ADS  Google Scholar 

  20. Zeng, G.H.: Phys. Rev. A 78, 016301 (2008).

    Article  ADS  MathSciNet  Google Scholar 

  21. Lee, H., Hong, C., Kim, H., Lim, J., Yang, H.J.: Phys. Lett. A 321, 295 (2004).

    Article  ADS  MathSciNet  Google Scholar 

  22. Wang, J., Zhang, Q., Liang, L. M., Tang, C. J.: Phys. Lett. A 347, 262 (2005).

    Article  ADS  Google Scholar 

  23. Li, Q., Chan, W. H., Long, D. Y.: Phys. Rev. A 79, 054307 (2009).

    Article  ADS  MathSciNet  Google Scholar 

  24. Zou, X., Qiu, D.: Phys. Rev. A 84, 042325 (2010).

    Article  ADS  Google Scholar 

  25. Yang, Y.G., Wen, Q.Y.: Sci. Chin. Ser. G. Phys. Mech. Astron. 51, 1079–1088 (2008).

    Article  ADS  Google Scholar 

  26. Wang, T.Y., Wei, Z.L.: Quantum Inf. Proc. 11, 455–463 (2012).

    Article  ADS  Google Scholar 

  27. Shi, J.H., Zhang, S.L., Chang, Z.G.: Sci. China Phys. Mech. Astron. 56(3), 519–523 (2013).

    Article  ADS  Google Scholar 

  28. Wen, X.J., Tian, Y., Ji, L.P., Niu, X.M.: Phys. Scr. 81, 055001 (2010).

    Article  ADS  Google Scholar 

  29. Wen, X.J.: Phys. Scr. 82, 065403 (2010).

    Article  Google Scholar 

  30. Xu, R., Huang, L.S., Yang, W., He, L.B.: Opt. Commun. 284, 3654–3658 (2011).

    Article  ADS  Google Scholar 

  31. Wang, T.Y., Wen, Q.Y.: Chin. Phys. B. 19, 060307 (2010).

    Article  ADS  Google Scholar 

  32. Wen, X.J., Niu, X. M., Ji, L.P., Tian, Y.: Opt. Commun. 282, 666–669 (2009).

    Article  ADS  Google Scholar 

  33. Yang, Y.G.: Chin. Phys. B. 17, 415 (2008).

    Article  ADS  Google Scholar 

  34. Yang, Y.G., Wang, Y., Teng, Y.W., Chai, H.P., Wen, Q.Y.: Commun. Theor. Phys. 54, 84 (2010).

    Article  ADS  Google Scholar 

  35. Leung, D.W. Quantum Inf. Comput. 2(1), 14–34 (2002).

    MathSciNet  Google Scholar 

  36. Boykin, P.O., Roychowdhury, V.: Phys. Rev. A 67, 042317 (2003).

    Article  ADS  Google Scholar 

  37. Gao, F., Qin, S.J., Guo, F.Z., Wen, Q.Y.: Phys. Rev. A 84, 022344 (2011).

    Article  ADS  Google Scholar 

  38. Choi, J.W., Chang, K.Y., Hong, D.: Phys. Rev. A 84, 062330 (2011).

    Article  ADS  Google Scholar 

  39. Zhang, K.J., Zhang, W.W., Li, D.: Quantum Inf. Process. 12, 2655–2669 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  40. Zhang, K.J., Qin, S.J., Sun, Y., Song, T.T., Su, Q.: Quantum Inf. Process. 12, 3127–3141 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  41. Yang, Y.G., Zhou, Z., Teng, Y.W., Wen, Q.Y.: Eur. Phys. J. D. 61, 773–778 (2011).

    Article  ADS  Google Scholar 

  42. Liu, F., Zhang, K., Cao, T.: Int. J. Theor. Phys. 53, 277–288 (2014).

    Article  Google Scholar 

  43. Dumais, P., Mayers, D., Salvail, L.: In: Advances in Cryptology-Eurocrypt 2000. LNSC, vol. 1807. Springer, Berlin (2000).

    Google Scholar 

  44. Crepeau, C., Legare, F., Salvail, L.: In: Proc. Euro. Advances in Cryptology, pp. 60–77, 2001.

  45. Kawachi, A, Kobayashi, H., Koshiba, T., Putra, R.H.: Theor. Comput. Sci. 345, 370–385 (2005).

    Article  Google Scholar 

  46. Kashefi, E., Kerenidis, I.: Theor. Comput. Sci. 378(1), 101–116 (2007).

    Article  Google Scholar 

  47. Nikolopoulos, G.M.: Phys. Rev. A 77, 032348 (2008).

    Article  ADS  MathSciNet  Google Scholar 

  48. Wu, Y., Yang, L.: In: Proceedings of the 2009 5th International Conference on Information Assurance and Security, vol. 1, pp. 540–543, 2009.

  49. Luo, M.X., Chen, X.B., Yun, D., Yang, Y.X.: Int. J. Theor. Phys. 51, 912–924 (2012).

    Article  Google Scholar 

  50. Nielsen, M.A, Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000).

    MATH  Google Scholar 

  51. Luo, M.X., Chen, X.B., Yun, D., Yang, Y.X.: Int. J. Theor. Phys. 51, 2135–2142 (2012).

    Article  Google Scholar 

  52. Yang, L., Wu, L.A, Liu, S.: Proceedings of Quantum Optics in Computing and Communication, SPIE Press, vol. 4917, pp. 106–111, 2002.

  53. Kak, S.: Found. Phys. Lett. 19(3), 293–296 (2006).

    Article  MathSciNet  Google Scholar 

  54. Menezes, AJ., van Oorschot, P.C., Vantone, S.A: Handbook of Applied Cryptography. CRC Press (1996).

  55. Forouzan, B.A: Cryptography and Network Security. Mcgraw Hill International Edition 2008.

  56. Gao, F., Lin, S., Wen, Q.Y., Zhu, F.C.: Chin. Phys. Lett. 25(5), 15–61 (2008).

    ADS  Google Scholar 

  57. Buhrman, H., Cleve, R., Watrous, J., de Wolf, R.: Phys. Rev. Lett. 87, 167902 (2001).

    Article  ADS  Google Scholar 

  58. Gao, F., Wen, Q.Y., Qin, S.J., Zhu, F.C.: Sci. China Phys. Mech. Astron. 52(12), 1925–1931 (2009).

    Article  ADS  Google Scholar 

  59. Nikolopoulos, G.M.: Phys. Rev. A 78, 019903 (2008).

    Article  ADS  MathSciNet  Google Scholar 

  60. Nikolopoulos, G.M., Ioannou, L.M.: Phys. Rev. A 79, 042327 (2009).

    Article  ADS  Google Scholar 

  61. Seyfarth, U., Nikolopoulos, G.M., Alber, G.: Phys. Rev. A 85, 022342 (2009).

    Article  ADS  Google Scholar 

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Acknowledgments

This research was supported by the research foundation of Korea University.

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Correspondence to Hyung-Jin Yang.

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Kang, MS., Hong, CH., Heo, J. et al. Quantum Signature Scheme Using a Single Qubit Rotation Operator. Int J Theor Phys 54, 614–629 (2015). https://doi.org/10.1007/s10773-014-2254-y

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  • DOI: https://doi.org/10.1007/s10773-014-2254-y

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