本論文提出了兩個在第三方幫助下的中介認證式輕量化量子金鑰分配協定。首先，我們提出了透過不誠實第三方幫忙的不需要使用理想認證通道的中介認證式純輕量化量子金鑰分配協定。在此純輕量化量子協定中，兩個參與者和不誠實的第三方皆為輕量化使用者。接著提出了利用半誠實第三方幫助的參與者之間不需要預先共享密鑰的三方認證式量子金鑰分配協定，讓參與者之間不需要有預共享密鑰也能安全地分享金鑰並且此半誠實第三方只需使用到輕量化量子能力。在上述提出的協定中，參與者皆使用了”輕量化量子環境”中較輕量的兩種量子能力且皆不需使用到假想的傳統認證通道。並且，將這兩個量子金鑰分配協定經過延伸修改使其成為量子對話應用。最後所提出的協定在集體攻擊下被證明是安全的。

This thesis proposes two mediated authenticated lightweight quantum key distribution protocols with the help of a third party (TP). First, we propose a mediated authenticated pure lightweight quantum key distribution (MAPLQKD) protocol with the help of an untrusted TP. In this pure lightweight quantum protocol, the participants and the untrusted TP are all lightweight users. Next, a three-party authenticated lightweight quantum key distribution (TPALQKD) protocol with the help of a semi-honest TP is proposed. In the TPALQKD protocol, participants can share a key securely without pre-sharing keys with each other, and the semi-honest TP only needs to perform lightweight quantum capabilities. In the above proposed protocols, the participants use the two lighter quantum capabilities of the “lightweight quantum environment” and do not need to assume the existence of an ideal authenticated classical channel. Furthermore, the proposed QKD protocols are extended and modified, the application of quantum dialogue protocols are proposed. Finally, the security analysis shows that the proposed protocols are robust under collective attacks.

[1] C. H. Bennett, G. Brassard, Theor. Comput. Sci. 2014, 560, 7.
[2] F. Grosshans, G. Van Assche, J. Wenger, R. Brouri, N. J. Cerf, P. Grangier, Nature 2003, 421, 238.
[3] S.-K. Chong, T. Hwang, Opt. Commun. 2010, 283, 1192.
[4] T. Hwang, C.-C. Hwang, C.-W. Tsai, Eur. Phys. J. D 2011, 61, 785.
[5] B. A. Nguyen, Phys. Lett. A 2004, 328, 6.
[6] G. Zeng, W. Zhang, Phys. Lett. A 2000, vol. 61, 022303.
[7] T. Hwang, K.-C. Lee, C.-M. Li, IEEE Trans. Dependable Secure Comput. 2007, 4, 71.
[8] C.-Y. Lin, C.-W. Yang, T. Hwang, Int. J. Theor. Phys. 2015, 54, 780.
[9] T. Hwang, Y.-P. Luo, Quantum Inf. Process. 2015, 14, 4631.
[10] M. Boyer, D. Kenigsberg, T. Mor, Phys. Rev. Lett. 2007, 99, 140501.
[11] M. Boyer, R. Gelles, D. Kenigsberg, T. Mor, Phys. Rev. A 2009, 79, 032341.
[12] X. Zou, D. Qiu, L. Li, L. Wu, L. Li, Phys. Rev. A 2019, 79, 052312.
[13] K.-N. Zhu, N.-R. Zhou, Y.-Q. Wang, X.-J. Wen, Int. J. Theor. Phys. 2018, 57, 3621.
[14] T.-Y. Ye, C.-Q. Ye, Quantum Inf. Process. 2018, 57, 1440.
[15] H.-M. Pang, Quantum Inf. Process. 2020, 59, 1364.
[16] B. Julsgaard, J. Sherson, J. I. Cirac, J. Fiurášek, E. Polzik, Nature 2004, 432, 482.
[17] T. Hwang, Y.-J. Chen, C.-W. Tsai, C.-C. Kuo, (Preprint) arXiv:2007.05804, v2, submitted: Nov 2020.
[18] H.-K. Lo, M. Curty, B. Qi, Phys. Rev. Lett. 2012, 108, 130503.
[19] S. Abruzzo, H. Kampermann, D. Bruß, Phys. Rev. A 2014, 89, 012301.
[20] A. Maitra, Quantum Inf. Process. 2017, 16, 305.
[21] W.O. Krawec, Phys. Rev. A 2015, 91, 032323.
[22] Y. Zhao, B. Qi, H.-K Lo, Phys. Rev. A 2008, 77, 052327.
[23] P.-H. Lin, C.-W. Tsai, T. Hwang, Ann. Phys. 2019, 531, 1800347.
[24] X.-B. Chen, G. Xu, X.-X. Niu, Q.-Y Wen, Y.-X. Yang, Opt. Commun. 2010, 283, 1561.
[25] N. Jefferies, C. Mitchell, M. Walker, Lect. Notes Comput. Sci. 1996, 1029, 98.
[26] S.-L. Huang, T. Hwang, P. Gope, Int. J. Theor. Phys. 2016, 55, 2969.
[27] J. Gu, T. Hwang, (Preprint) arXiv:2102.01878, v1, submitted: Feb 2021.
[28] V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, M. Peev, Rev. Mod. Phys. 2009, 81, 1301.
[29] B. Preneel, H. Dobbertin, A. Bosselaers, CryptoBytes 1997, 3, 9.