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.
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页数：7
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