The Construction of Mutually Unbiased Unextendible Maximally Entangled Bases

被引：1

作者：

Tang, Liang ^{[1
,2
]}

Xiong, Si-yu ^{[1
,2
]}

Li, Wen-jing ^{[1
,2
]}

Bai, Ming-qiang ^{[1
,2
]}

Mo, Zhi-wen ^{[1
,2
]}

机构：

[1] Sichuan Normal Univ, Sch Math Sci, Chengdu 610066, Peoples R China

[2] Sichuan Normal Univ, Inst Intelligent Informat & Quantum Informat, Chengdu 610066, Peoples R China

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2021年 / 60卷 / 06期

基金：

美国国家科学基金会;

关键词：

Mutually unbiased bases; Unextendible maximally entangled bases; Best measurement bases; Bipartite systems;

D O I：

10.1007/s10773-021-04822-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Mutually unbiased bases (MUBs), a kind of important best measurement base, is widely applied to quantum information processing. In this paper, we obtain the different unextendible maximally entangled bases (UMEBs) by constructing unitary matrices in bipartite systems HCode C-d circle times C-d '(d '/2<d<d '). Then, we show that the sufficient and necessary conditions for UMEBs extend to MUBs in this bipartite systems. Finally, these results are generalized in bipartite systems C-d circle times C-d '(d '=qd+r,0<r<d,q,r is an element of Z(+)).

引用

页码：2054 / 2065

页数：12

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