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含至多四个参与者的量子秘密共享方案的最优信息率

宋云 李志慧 李永明

电子学报Issue(10):1951-1956,6.
电子学报Issue(10):1951-1956,6.DOI:10.3969/j.issn.0372-2112.2014.10.013

含至多四个参与者的量子秘密共享方案的最优信息率

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

宋云 1李志慧 1李永明2

作者信息

  • 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
  • 折叠

摘要

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 opti-mal 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

信息率/量子秘密共享/量子存取结构/超图/量子熵

Key words

information rate/quantum-secret-sharing scheme/quantum access structures/hypergraph/quantum entropy

分类

信息技术与安全科学

引用本文复制引用

宋云,李志慧,李永明..含至多四个参与者的量子秘密共享方案的最优信息率[J].电子学报,2014,(10):1951-1956,6.

基金项目

国家自然科学基金(No .61373150);陕西省科学技术研究发展计划工业攻关项目 ()

电子学报

OA北大核心CSCDCSTPCD

0372-2112

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