A Note on the Hierarchy of Quantum Measurement Incompatibilities

被引：1

作者：

Sun, Bao-Zhi ^{[1
]}

Wang, Zhi-Xi ^{[2
]}

Li-Jost, Xianqing ^{[3
]}

Fei, Shao-Ming ^{[2
,3
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

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

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

来源：

ENTROPY | 2020年 / 22卷 / 02期

基金：

北京市自然科学基金;

关键词：

quntum measurements; hierarchy of incompatibilities; semidefinite program; JOINT MEASUREMENTS; ERROR;

D O I：

10.3390/e22020161

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The quantum measurement incompatibility is a distinctive feature of quantum mechanics. We investigate the incompatibility of a set of general measurements and classify the incompatibility by the hierarchy of compatibilities of its subsets. By using the approach of adding noises to measurement operators, we present a complete classification of the incompatibility of a given measurement assemblage with n members. Detailed examples are given for the incompatibility of unbiased qubit measurements based on a semidefinite program.

引用

页数：7

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