Quantum secret sharing using the d-dimensional GHZ state

We propose a quantum secret sharing scheme that uses an orthogonal pair of n -qudit GHZ states and local distinguishability. In the proposed protocol, the participants use an X -basis measurement and classical communication to distinguish between the two orthogonal states and reconstruct the origina...

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Bibliographic Details
Published inQuantum information processing Vol. 16; no. 3; pp. 1 - 13
Main Authors Bai, Chen-Ming, Li, Zhi-Hui, Xu, Ting-Ting, Li, Yong-Ming
Format Journal Article
LanguageEnglish
Published New York Springer US 01.03.2017
Springer Nature B.V
Subjects
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Players
Quantum Computing
Quantum cryptography
Quantum Information Technology
Quantum Physics
Spintronics
Local distinguishability
GHZ state
Quantum secret sharing
Orthogonal pair
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Summary:We propose a quantum secret sharing scheme that uses an orthogonal pair of n -qudit GHZ states and local distinguishability. In the proposed protocol, the participants use an X -basis measurement and classical communication to distinguish between the two orthogonal states and reconstruct the original secret. We also present (2,  n )-threshold and generalized restricted (2,  n )-threshold schemes that enable any two cooperating players from two disjoint groups to always reconstruct the secret. Compared to the existing scheme by Rahaman and Parker (Phys Rev A 91:022330, 2015 ), the proposed scheme is more general and the access structure contains more authorized sets.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-016-1506-6