本論文提出了兩個中介認證式半量子金鑰分配協定，允許兩個傳統參與者分別在完全不誠實的第三方（TP）和半誠實的第三方的幫助下共享密鑰，並且透過認證式的方式使協定更加實際。於現行的許多研究中，這些協議必須依賴繁重的量子能力，如貝爾量測、擁有量子記憶體等，而本論文中的傳統參與者僅需使用半量子定義下最輕的三種能力即可完成中介認證式半量子金鑰分配協定。首先利用現有的三方半量子金鑰分配協定為基礎，並且使用預先分配金鑰取代了假設性的理想傳統認證通道，進而設計了認證式半量子金鑰分配協定。除此之外，為了更進一步拓展到參與者之間沒有任何通道或預先分配金鑰的情況下，利用半誠實的第三方取代了完全不誠實的第三方，設計了參與者之間無需預先共享金鑰的認證式半量子金鑰分配協定。這兩個中介認證式半量子金鑰分配協定，不僅降低了使用者的能力負擔，也使參與者可以更佳彈性的進行金鑰分配協議，這些都讓讓協議更具實用性及彈性。

This thesis proposes two mediated authenticated semi-quantum key distribution protocols, allowing two classical participants to share a secret key with the help of an untrusted third party (TP) and a semi-honest third party respectively through an authentication method to make the protocol more practical. In many current studies, these protocols have to rely on heavy quantum capabilities, such as performing Bell measure or possessing quantum memory for their participants. The classical participants in this thesis only need to use the three lightest capabilities under the semi-quantum definition to complete the mediated authenticated semi-quantum key distribution protocol. First, the existing mediated semi-quantum key distribution protocol is used as the basis, and the pre-shared key is used to replace the assumed ideal authenticated classical channel. Then, authenticated semi-quantum key distribution protocol is designed. In addition, to further extend to the situation where participants do not have any channels or pre-shared keys with each other, a semi-honest TP is used to replace an untrusted TP, and an authenticated semi-quantum key distribution protocol without pre-shared between participants is designed. These two mediated authenticated semi-quantum key distribution protocols not only reduce the participants’ capability burden, but also enable participants to implement the key distribution protocol more flexibly, making the protocol more practical and flexible.

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