von Neumann measurement-related matrices and the nullity condition for quantum correlation

被引：9

作者：

Zhao, MingJing ^{[1
]}

Ma, Teng ^{[2
,3
]}

Zhang, TingGui ^{[4
]}

Fei, Shao-Ming ^{[5
,6
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Sci, Beijing 100192, Peoples R China

[2] Tsinghua Univ, State Key Lab Low Dimens Quantum Phys, Beijing 100084, Peoples R China

[3] Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China

[4] Hainan Normal Univ, Sch Math & Stat, Haikou 571158, Peoples R China

[5] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[6] Max Planck Inst Math Sci, D-04103 Leipzig, Germany

来源：

SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY | 2016年 / 59卷 / 12期

基金：

中国国家自然科学基金;

关键词：

von Neumann measurement; matrix; rank; quantum correlation;

D O I：

10.1007/s11433-016-0356-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study von Neumann measurement-related matrices, and the nullity condition of quantum correlation. We investigate the properties of these matrices that are related to a von Neumann measurement. It is shown that these (m(2) - 1) x (m(2) - 1) matrices are idempotent, and have rank m - 1. These properties give rise to necessary conditions for the nullity of quantum correlations in bipartite systems. Finally, as an example we discuss quantum correlation in Bell diagonal states.

引用

页数：6

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