### （t，n） Threshold Quantum Secret Sharing Based on d-Dimensional Multi-Particle Entanglement State

SONG Xiuli1，2, XU Jiankun1，2

1. 1.College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2.Chongqing Key Laboratory of Network Information Security Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
• Online:2019-03-01 Published:2019-03-06

### 基于[d]维多粒子纠缠态的[(t,n)]门限量子秘密共享

1. 1.重庆邮电大学 计算机科学与技术学院，重庆 400065
2.重庆邮电大学 网络信息安全技术重庆市重点工程实验室，重庆 400065

Abstract: In order to overcome the limitation on 2-dimension of Hilbert space, and solve the problem that some participants cannot attend reconstructing process of the shared secret, a （t, n） threshold quantum secret sharing scheme is proposed by using maximally d-dimensional multi-particle entanglement state. The dealer prepares n d-dimensional 2-particle entangled pairs and distributes the 2nd particle to n participants respectively. When the dealer chooses t particles in his hand for joint projection measurement, the entanglement swapping causes the corresponding t particles in participants’ hands to collapse into a t-particle entangled state. These t participants add their share to the t-particle entangled state through QFT transformation and Pauli operation. Eventually, the shared secret is recovered by these t participants. Security analysis shows that the proposed scheme can resist intercept-resend attack, entangle-measure attack, collusion attack, and forgery attack.