Title
Searching for optimal quantum secret sharing scheme based on local distinguishability.
Abstract
The (k, n)-threshold quantum secret sharing scheme is an important and difficult field in quantum information processing and quantum cryptography. In this paper, the (k, n)-threshold quantum secret sharing scheme based on local operations and classical communication (LOCC-QSS) is investigated. Firstly, in order to effectively study the LOCC-QSS scheme, digital and graphical representations of judgement space are introduced creatively. These representations are simple and convenient. Secondly, an algorithm is designed to search optional states for any given k and n. For optional states, the unambiguous probability equals 0 when x participants cooperate (x<k). Thirdly, a method is proposed to decrease the guessing probability. Some schemes which are more secure than existing ones can be obtained further. Last but not least, the conditions of optimal LOCC-QSS schemes are given for the first time. Our research will be helpful for the development of LOCC-QSS scheme.
Year
DOI
Venue
2020
10.1007/s11128-020-02809-z
QUANTUM INFORMATION PROCESSING
Keywords
DocType
Volume
Security,Quantum secret sharing,Local distinguishability,Optimal scheme,Searching algorithm
Journal
19
Issue
ISSN
Citations 
10
1570-0755
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Zhao Dou1133.02
Gang Xu23618.66
Xiu-Bo Chen316336.11
Xinxin Niu421133.93
Yixian Yang51121140.62
Yu Yang600.34