• Acta Physica Sinica
  • Vol. 69, Issue 16, 160301-1 (2020)
Zhen-Xing He, Xing-Kui Fan, Peng-Cheng Chu, and Hong-Yang Ma*
Author Affiliations
  • School of Sciences, Qingdao University of Technology, Qingdao 266033, China
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    DOI: 10.7498/aps.69.20200333 Cite this Article
    Zhen-Xing He, Xing-Kui Fan, Peng-Cheng Chu, Hong-Yang Ma. Anonymous communication scheme based on quantum walk on Cayley graph[J]. Acta Physica Sinica, 2020, 69(16): 160301-1 Copy Citation Text show less
    References

    [1] Furusawa A, Sørensen J L, Braunstein S L, Fuchs C A, Kimble H J, Polzik E S[J]. Science, 282, 706(1998).

    [2] Hillery M, Bužek V, Berthiaume A[J]. Phys. Rev. A, 59, 1892(1999).

    [3] Hu Y A, Ye Z Q[J]. Acta Photon. Sin., 43, 827001(2014).

    [4] Unnikrishnan A, MacFarlane I J, Yi R, Diamanti E, Markham D, Kerenidis I[J]. Phys. Rev. Lett., 122, 240510(2019).

    [5] Brassard G, Broadbent A, Fitzsimons J, Gambs S, Tapp A[J]. 13 th  International  Conference  on  the  Theory  and Application  of  Cryptology  and  Information  Security, 460-473(2007).

    [6] Chen P, Cai Y X, Cai X F, Shi L H, Yu X T[J]. Acta Phy. Sin., 64, 040301(2015).

    [7] Nie M, Wang L F, Yang G, Zhang M L, Pei C X[J]. Acta Phy. Sin., 64, 210303(2015).

    [8] Wehner S[J]. Ph. D. Dissertation(2004).

    [9] Chaum D[J]. J. Cryptol., 1, 1(1988).

    [10] Chen X B, Sun Y R, Xu G[J]. Inf. Sci., 501, 172(2019).

    [11] Xu G, Xiao K, Li Z P, Niu X X, Ryan M[J]. CMC-Comput. Mater. Con., 58, 809(2019).

    [12] Lipinska V, Murta G, Wehner S[J]. Phys. Rev. A, 98, 052320(2018).

    [13] Xue P, Guo G C[J]. Physics, 31, 385(2002).

    [14] Boykin P O[J]. Ph. D. Dissertation(2002).

    [15] Christandl M, Wehner S[J]. 11th  International  Conference on the Theory and Application of Cryptology and Information, 217-235(2005).

    [16] Bouda J, Sprojcar J[J]. First  International  Conference  on Quantum, Nano, and Micro Technologies, 12(2007).

    [17] Jiang L, He G Q, Nie D, Xiong J, Zeng G H[J]. Phys. Rev. A, 85, 042309(2012).

    [18] Zhou N R, Gong L H, Liu S Q, Zeng G H[J]. Acta Phys. Sin., 56, 5066(2007).

    [19] Montanaro A[J]. NPJ Quantum Inf., 2, 15023(2016).

    [20] Yang L, Li K, Dai H Y, Zhang M[J]. Acta Phys. Sin., 68, 140301(2019).

    [21] Travaglione B C, Milburn G J[J]. Phys. Rev. A, 65, 032310(2002).

    [22] Childs A M, Goldstone J[J]. Phys. Rev. A, 70, 022314(2004).

    [23] Childs A M, Cleve R, Deotto E, Farhi E, Gutmann S, Spielman D A[J]. Proceedings  of  the  Thirty-fifth  Annual ACM  Symposium  on  Theory  of  Computing, 59-68(2003).

    [24] Sansoni L, Sciarrino F, Vallone G, Mataloni P, Crespi A, Ramponi R, Osellame R[J]. Phys. Rev. Lett., 108, 010502(2012).

    [25] Childs A M[J]. Phys. Rev. Lett., 102, 180510(2009).

    [26] Zhan H[J]. Quantum Inf. Process., 18, 369(2019).

    [27] Costa P, de Melo F, Portugal R[J]. Phys. Rev. A, 100, 042320(2019).

    [28] Di Molfetta G, Arrighi P[J]. Quantum Inf. Process., 19, 47(2020).

    [29] Wong T G[J]. Phys. Rev. A, 100, 062325(2019).

    [30] Szigeti B E, Homa G, Zimborás Z, Barankai N[J]. Phys. Rev. A, 100, 062320(2019).

    [31] Wang Y, Shang Y, Xue P[J]. Quantum Inf. Process., 16, 221(2017).

    [32] Feng Y Y, Shi R H, Shi J J, Zhou J, Guo Y[J]. Quantum Inf. Process., 18, 154(2019).

    [33] Li H J, Li J, Xiang N, Zheng Y, Yang Y G, Naseri M[J]. Quantum Inf. Process., 18, 316(2019).

    [34] Abd-El-Atty B, El-Latif A A A, Venegas-Andraca S E[J]. Quantum Inf. Process., 18, 272(2019).

    [35] Xu P A, He Z X, Qiu T H, Ma H Y[J]. Opt. Express, 28, 12508(2020).

    [36] Shi P, Li N C, Wang S M, Liu Z, Ren M R, Ma H Y[J]. Sensors, 19, 5257(2019).

    [37] [J].

    [38] Zhao J B, Zhang W B, Ma Y L, Zhang X H, Ma H Y[J]. Appl. Sci., 10, 1935(2020).

    [39] Ye C Q, Ye T Y[J]. Int. J. Theor. Phys., 58, 1282(2019).

    [40] Qin L G, Wang Z Y, Wu S C, Gong S Q, Ma H Y, Jing J[J]. Opt. Commun., 410, 102(2018).

    [41] Gong L, Qiu K, Deng C, Zhou N[J]. Opt. Laser Technol., 115, 257(2019).

    [42] Chen X B, Wang Y L, Xu G, Yang Y Y[J]. IEEE Access, 7, 13634(2019).

    [43] Li H J, Chen X B, Wang Y L, Hou Y Y, Li J[J]. Quantum Inf. Process., 18, 16(2019).

    [44] Facer C, Twamley J, Cresser J[J]. Phys. Rev. A, 77, 012334(2008).

    [45] Deng F G, Long G L[J]. Phys. Rev. A, 69, 052319(2004).

    [46] Long G L, Wang C, Li Y S, Deng F G[J]. Sci. Sin. Phys. Mech. Astron., 41, 332(2011).

    [47] Kempf A, Portugal R[J]. Phys. Rev. A, 79, 052317(2009).

    [48] Childs A M[J]. Commun. Math. Phys., 294, 281(2010).

    [49] Liu X, Liang Y X, Nie M, Wei Y Y[J]. J. Optoelectron. Laser, 11, 7(2017).

    [50] Ma H Y, Zhang X, Xu P A, Liu F, Fan X K[J]. J. Commun., 41, 190(2020).

    [51] Diaconis P, Rockmore D[J]. J. Am. Math. Soc., 3, 297(1990).

    [52] Hsiao H C, Kim T J, Perring A, Yamada A[J]. IEEE Secur. Privacy, 19, 506(2012).

    Zhen-Xing He, Xing-Kui Fan, Peng-Cheng Chu, Hong-Yang Ma. Anonymous communication scheme based on quantum walk on Cayley graph[J]. Acta Physica Sinica, 2020, 69(16): 160301-1
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