自然科学版
陕西师范大学学报(自然科学版)
密码学专题
基于LOCC的五粒子量子态的区分及应用
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司萌萌, 李志慧*, 刘成基, 韩朵
(陕西师范大学 数学与信息科学学院,陕西 西安710119)
李志慧,女,教授,博士生导师,主要从事有限域、密码学量子密为密码学研究。E-mail: lizhihui@snnu.edu.cn
摘要:
判断空间可用于判定高维量子比特系统中一对正交多体纠缠态的局域区分性,若其对应的判断空间是正交的,则这一对正交多体纠缠态可无歧义地被区分。根据判断空间的性质和条件,可得到能抵御无歧义攻击的量子纠缠态。本文针对五个粒子的情况构造了7种量子纠缠态,计算了其判断空间,并在此基础上提出了判断空间的判断规则。基于这些判断规则,研究了这7种五粒子量子纠缠态的局域区分性,进而提出了一个(4,5)-门限量子秘密共享方案。
关键词:
多体纠缠态;判断空间;量子秘密共享
收稿日期:
2018-06-09
中图分类号:
O177.1;TP391.42
文献标识码:
A
文章编号:
1672-4291(2019)05-0108-07
基金项目:
国家自然科学基金(61373150,61602291);陕西省科学技术研究发展计划(2013K0611);中央高校基本科研业务费专项资金(GK201603087)
Doi:
The discrimination and application of 5-qudit quantum states based on LOCC
SI Mengmeng, LI Zhihui*, LIU Chengji, HAN Duo
(School of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710119, Shaanxi, China)
Abstract:
Judgment space can be used to determine the local discrimination of a pair of multiple orthogonal entanglement states in high dimensional quantum bit system, if their corresponding judgment space is orthogonal, then this pair of states can be unambiguously discriminated. According to the properties and conditions of the judgment space, we can find a set of quantum entangled states which can resist unambiguous attacks. In this paper, we constructed seven kinds of quantum entangled states which have five particles, and calculated the judgment space, and put forward the judgment rules of judgment space. Based on these rules, this paper studies the local discriminability of these seven five particle entanglement states, and then proposes a (4,5)-threshold scheme of quantum secret sharing.
KeyWords:
multiqudit entangled states; judgment space; quantum secret sharing