[1]卜繁强,杨强,陶元红*.量子系统C2C3中无偏的不可扩展最大纠缠基的新构造[J].延边大学学报(自然科学版),2015,41(02):136-141.
　BU Fanqiang,YANG Qiang,TAO Yuanhong*.New construction of mutually unbiased unextendible maximally entangled bases in quantum system C2C3[J].Journal of Yanbian University,2015,41(02):136-141.
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量子系统C2C3中无偏的不可扩展最大纠缠基的新构造

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第41卷 期数: 2015年02期 页码: 136-141 栏目: 基础科学研究 出版日期: 2015-05-30
Title:
New construction of mutually unbiased unextendible maximally entangled bases in quantum system C2C3
作者:
卜繁强1;  杨强2;  陶元红2*
1.延边朝鲜族自治州学校后勤服务中心, 吉林 延吉 133000; 2.延边大学理学院 数学系, 吉林 延吉 133002
Author(s):
BU Fanqiang1;  YANG Qiang2;  TAO Yuanhong2*
1.School Logistics Service Center of Yanbian Korean Autonomous Prefecture, Yanji 133000, China; 2.Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China
关键词:
无偏基;  最大纠缠态;  不可扩展的最大纠缠基
Keywords:
mutually unbiased bases;  maximally entangled state;  unextendible maximally entangled basis
分类号:
O177.3
文献标志码:
A
摘要:
讨论量子系统C2C3中无偏的不可扩展最大纠缠基的新构造.首先选取空间C2中的任意规范正交基,构造出C2C3中一类4-成员的不可扩展的最大纠缠系统,然后再通过添加C2C3中的两个规范正交向量将其扩充成C2C3中的基底; 其次通过变换C3空间的基底,构造出C2C
Abstract:
New constructions of mutually unbiased unextendible maximally entangled bases in quantum system C2C3 are discussed. Firstly, by choosing an arbitrary orthonormal basis in C2, we construct a kind of 4-member unextendible maximally entangled system in C2C3, which becomes an unextendible maximally entangled basis in C2C3 after we add two orthonormal vectors in C2C3. Secondly, through changing the basis of C3, another unextendible maximally entangled basis is established, and the sufficient and necessary conditions of mutually unbiaseness of them are discussed.

参考文献/References:

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备注/Memo

收稿日期: 2015-05-14 *通信作者: 陶元红(1973—),女,博士,副教授,研究方向为泛函分析及应用.基金项目: 国家自然科学基金资助项目(11361065); 吉林省自然科学基金资助项目(201215239)

更新日期/Last Update: 2015-05-30