We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Quantum secret sharing for a general quantum access structure.
- Authors
Bai, Chen-Ming; Li, Zhi-Hui; Si, Meng-Meng; Li, Yong-Ming
- Abstract
Quantum secret sharing is a procedure for sharing a secret among a number of participants such that only certain subsets of participants can collaboratively reconstruct it, which are called authorized sets. The quantum access structure of a secret sharing is a family of all authorized sets. Firstly, in this paper, we propose the concept of decomposition of quantum access structure to design a quantum secret sharing scheme. Secondly, based on a maximal quantum access structure (MQAS) [D. Gottesman, Phys. Rev. A 61, 042311 (2000)], we propose an algorithm to improve a MQAS and obtain an improved maximal quantum access structure (IMQAS). Then, we present a sufficient and necessary condition about IMQAS, which shows the relationship between the minimal authorized sets and the players. In accordance with properties, we construct an efficient quantum secret sharing scheme with a decomposition and IMQAS. A major advantage of these techniques is that it allows us to construct a method to realize a general quantum access structure. Finally, we present two kinds of quantum secret sharing schemes via the thought of concatenation or a decomposition of quantum access structure. As a consequence, we find that the application of these techniques allows us to save more quantum shares and reduces more cost than the existing scheme. Graphical abstract:
- Subjects
QUANTUM mechanics; MATHEMATICAL decomposition; ALGORITHMS; MONOTONE operators; MATHEMATICAL formulas
- Publication
European Physical Journal D (EPJ D), 2017, Vol 71, Issue 10, p1
- ISSN
1434-6060
- Publication type
Article
- DOI
10.1140/epjd/e2017-80286-3