Measurement-device-independent quantum secret sharing and quantum conference based on Gaus

Measurement-device-independent quantum secret

sharing and quantum conference based on

Gaussian cluster state

作者：Yu WANG[1];Caixing TIAN[2,3];Qi SU[1];Meihong WANG[2,3];Xiaolong SU[2,3];;;;

作者机构：[1]State Key Laboratory of Cryptology,Beijing

100878,China;[2]State Key Laboratory of Quantum Optics and Quantum Optics Devices,Institute of Opto-Electronics,Shanxi University,Taiyuan 030006,China;[3]Collaborative Innovation Center of Extreme

Optics,Shanxi University,Taiyuan 030006,China;[1]State Key Laboratory of Cryptology,Beijing 100878,China;[2]State Key Laboratory of Quantum Optics and Quantum Optics Devices,Institute of Opto-Electronics,Shanxi University,Taiyuan 030006,China;[3]Collaborative Innovation Center of Extreme Optics,Shanxi University,Taiyuan 030006,China;[2]State Key Laboratory of Quantum Optics and Quantum Optics Devices,Institute of Opto-Electronics,Shanxi University,Taiyuan

030006,China;[3]Collaborative Innovation Center of Extreme Optics,Shanxi University,Taiyuan 030006,China; 来源：中国科学 ISSN：1674-733X 年：2019 卷：000 期：007

页码：P.196-209 页数：14

中图分类：O413 正文语种：CHI

关键词：measurement-device-independent;cluster state;quantum network;continuous variable;quantum secret sharing

摘要：Cluster state is the basic resource for one-way quantum

computation and a valuable resource for establishing quantum network, because it has a flexible and varied composition form. We present measurement-device-independent quantum secret sharing(QSS) and quantum conference(QC) schemes based on continuous variable(CV) four-mode cluster state with different structures. The users of the protocol prepare their own Einstein-Podolsky-Rosen(EPR) states, respectively. One mode of these EPR states is sent to an untrusted relay where a generalized Bell measurement creates different types of CV cluster states among four users, while the other mode is kept at their own station. We show that a shared secret key for QSS and QC schemes is distilled based on the shared quantum correlation among four users. QC and four users QSS are implemented based on the star shape CV cluster state. QSS with three users are implemented based on the linear or square shape CV cluster states. The results show that the secure transmission distance for an asymmetric network, where the transmission distances between the users and relay are different, is longer than that of a symmetric network, where the transmission distances between the users and relay are the same. The presented schemes provide concrete references for establishing quantum network with the CV cluster state.