The Optimal Information Rate of Quantum-Secret-Sharing Schemes Based on at Most Four Participants

SONG Yun; LI Zhi-hui; LI Yong-ming

doi:10.3969/j.issn.0372-2112.2014.10.013

您当前的位置：

首页 >

文章列表页 >

The Optimal Information Rate of Quantum-Secret-Sharing Schemes Based on at Most Four Participants

更新时间：2025-07-16

- The Optimal Information Rate of Quantum-Secret-Sharing Schemes Based on at Most Four Participants
- Acta Electronica Sinica Vol. 42, Issue 10, Pages: 1951-1956(2014)
- 作者机构：
  
  1. 陕西师范大学数学与信息科学学院,陕西,西安,710062
  2. 陕西师范大学计算机科学学院,陕西,西安,710062
  3. 陕西师范大学数学与信息科学学院,陕西,西安,710062
  4. 陕西师范大学计算机科学学院,陕西,西安,710062
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61373150);Science and Technology Research Development Project of Shaanxi Province Industrial Research and Development Program (No.2013k0611)
- DOI：10.3969/j.issn.0372-2112.2014.10.013
  CLC： TP309
- Published：2014
- 稿件说明：
移动端阅览
SONG Yun, LI Zhi-hui, LI Yong-ming. The Optimal Information Rate of Quantum-Secret-Sharing Schemes Based on at Most Four Participants[J]. Acta Electronica Sinica, 2014, 42(10): 1951-1956.
DOI：

SONG Yun, LI Zhi-hui, LI Yong-ming. The Optimal Information Rate of Quantum-Secret-Sharing Schemes Based on at Most Four Participants[J]. Acta Electronica Sinica, 2014, 42(10): 1951-1956. DOI： 10.3969/j.issn.0372-2112.2014.10.013.

摘要

信息率是衡量量子秘密共享方案性能的一个重要指标.在本文中

我们利用超图的相关理论刻画了量子存取结构.然后

利用超图和量子存取结构间的关系给出了参与者人数至多为4的所有13个量子存取结构

并基于量子信息论研究了其最优信息率及所对应的完善的量子秘密共享方案.对其中的5种存取结构的最优信息率的准确值进行了计算

并讨论了达到此信息率的方案的具体构造;对余下的8种存取结构的最优信息率的上界进行了计算.

Abstract

The information rate is an important metric of the performance of a quantum-secret-sharing scheme.In this paper

we characterize the quantum access structures by means of the theory of hypergraph.Furthermore

we derive the optimal information rate and the construction of perfect quantum-secret-sharing schemes corresponding to the quantum access structures with at most four players which are given in terms of the relationship between certain access structures and hypergraphs.The exact values for the optimal information rate in 5 of the 13 access structures are computed and the relevant construction of perfect secret sharing schemes is discussed.At the same time

the upper bounds for the information rate of other 8 quantum access structures are computed.

关键词

Keywords

references

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Master-Slave Multi-Chain Consensus Mechanism of Consortium Blockchain Based on Hypergraph and MuSig2

Bi-Graph Mix-random Walk Based Social Recommendation Model

Autoencoder and Hypergraph-Based Semi-Supervised Broad Learning System

A Secure Vector Space Secret Sharing Scheme

Related Author

LIU Zi-yu

JING Xu

WEN Jun-hao

RONG Wen-ge

FAN Qi-lin

YU Jun-liang

GAO Min

CAO Yang

Related Institution

Shaanxi Engineering Research Center of Agricultural Information Intelligent Perception and Analysis， Yangling

College of Information Engineering， Northwest A&F University， Yangling

School of Computer Science and Engineering, Beihang University

School of Information Technology and Electrical Engineering, University of Queensland

School of Big Data & Software Engineering, Chongqing University

⁰