Continuous-Variable Quantum Secret Sharing Based on Thermal Terahertz Sources in Inter-Satellite Wireless Links  
[PERSON]  
1 State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an 710071, China;  
[EMAIL_ADDRESS] (C.L. ); [EMAIL_ADDRESS] (H.Y. ); [EMAIL_ADDRESS] (C.P. );  
2 Collaborative Innovation Center of Quantum Information of Shaaxi Province, Xidian University, Xi'an 710071, China  
3 Shaaxi Key Laboratory of Information Communication Network and Security, Xi'an University of Posts & Telecommunications, Xi'an 710121, China; [EMAIL_ADDRESS] 4 School of Mathematics and Statistics, Shamaxi Normal University, Xi'an 710119, China; [EMAIL_ADDRESS] 5 School of Communications and Information Engineering, Xi'an University of Posts & Telecommunications, Xi'an 710121, China 6 Institute of Spacecraft System Engineering, China Academy of Space Technology (CAST),  
Beijing 10094, China 5  
[PERSON]  
1 State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an 710071, China;  
[EMAIL_ADDRESS] (C.L. ); [EMAIL_ADDRESS] (H.Y. ); [EMAIL_ADDRESS] (C.P. );  
2 Collaborative Innovation Center of Quantum Information of Shaaxi Province, Xidian University, Xi'an 710071, China  
3 Shaaxi Key Laboratory of Information Communication Network and Security, Xi'an University of Posts & Telecommunications, Xi'an 710121, China; [EMAIL_ADDRESS] 4 School of Mathematics and Statistics, Shamaxi Normal University, Xi'an 710119, China; [EMAIL_ADDRESS] 5 School of Communications and Information Engineering, Xi'an University of Posts & Telecommunications, Xi'an 710121, China 6 Institute of Spacecraft System Engineering, China Academy of Space Technology (CAST),  
Beijing 10094, China 5  
[PERSON]  
1 State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an 710071, China;  
[EMAIL_ADDRESS] (C.L. ); [EMAIL_ADDRESS] (H.Y. ); [EMAIL_ADDRESS] (C.P. );  
3 Shaaxi Key Laboratory of Information Communication Network and Security, Xi'an University of Posts & Telecommunications, Xi'an 710071, China;  
[EMAIL_ADDRESS] (C.L. ); [EMAIL_ADDRESS] (H.Y. ); chxpie@kidian. power in the presence of fog, dust, and atmospheric turbulence, etc. ; and compared with the microwave communication, it has larger capacity and better directionality. However, THz communication has a fatal weakness in the atmosphere, that is, it is easily absorbed by the pervasive atmospheric water molecules, which severely limits its communication distance [20; 21]. Fortunately, THz communication is feasible in inter-satellite links since the concentration of water molecules there can be negligible and a previous work has studied the feasibility [18]. Thus, THz communication can provide an efficient path to build inter-satellite quantum communication networks. With development of communication networks, the point-to-point QKD system may be difficult to meet the requirements of multi-party secret key sharing (at least 3 players). In this paper, we extend the standard point-to-point CVQKD to a \((n,n)\) threshold quantum secret sharing (QSS) protocol that allows multiple players to share keys securely. The \((n,n)\) threshold QSS which has been proven high security and efficiency with important practical applications based quantum technology [22; 23; 24; 25], means that the dealer securely distributes the secret to \(n\) remote players; the secret can be recovered only by the whole group players' knowledge in cooperation; a single player or any subset of the players in the group cannot recover the secret correctly. As a rule, QSS schemes involve more players than point-to-point QKD schemes and some players may be dishonest. Thus, QSS schemes will suffer additional attacks to make its security analysis more demanding than QKD schemes. In 2013, [PERSON] et al. [26] utilized CVQKD technology for the first time to analyze the security of CVQSS. In 2017, [PERSON] et al. [27] proposed the security proof of entanglement-based CVQSS against both dishonest players and eavesdroppers appeared in the channels.