A pure quantum secret sharing scheme based on GHZ basis measurement and quantum entanglement exchange  

作　　者：Bai Liu Jun Zhang Shupin Qiu Mingwu Zhang 刘白;张俊;邱书品;张明武

机构地区：[1]School of Computer Science,Hubei University of Technology,Wuhan 430068,China

出　　处：《Chinese Physics B》2025年第3期95-102,共8页中国物理B(英文版)

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.62002105);the Key Research and Development Program of Hubei,China(Grant No.2021BEA163)。

摘　　要：At present,most quantum secret sharing(QSS)protocols are more or less designed with the incorporation of classical secret sharing schemes.With the increasing maturity of quantum technology,QSS protocols based on pure quantum mechanics are becoming more important.Classical secret sharing schemes cannot achieve absolute security,and their involvement can compromise the security of QSS protocols.This paper proposes a QSS scheme based on Greenberger-Horn-Zeilinger(GHZ)basis measurement and quantum entanglement exchange.In this protocol,the secret sender stores the secret information using Pauli operations.Participants obtain their shares by measuring the product state sequentially.Finally,participants complete the secret reconstruction through quantum entanglement exchange and other related quantum operations.In addition,the particles held by participants in the protocol do not contain any secret information.Each participant's particles are in a state of maximum entanglement,and no participant can deduce the particle information of other participants through their own particles.At the same time,the protocol is based on pure quantum mechanics and does not involve classical schemes,which avoids the problem of reduced security of the protocol.Security analysis indicates that the protocol is not vulnerable to retransmission interception and collusion attacks.Moreover,it is capable of detecting and terminating the protocol promptly when facing with attacks from dishonest participants.

关 键 词：quantum secret sharing projection measurement quantum entanglement exchange THRESHOLD 

分 类 号：O41[理学—理论物理]