Product and sum uncertainty relations based on metric-adjusted skew information

被引:8
|
作者
Ma, Xiaoyu [1 ]
Zhang, Qing-Hua [2 ]
Fei, Shao-Ming [2 ,3 ]
机构
[1] Shandong Univ, Zhongtai Secur Inst Financial Studies, Jinan 250100, 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
基金
北京市自然科学基金;
关键词
uncertainty relations; metric-adjusted skew information; operator representation;
D O I
10.1088/1612-202X/ac60a3
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The metric-adjusted skew information establishes a connection between the geometrical formulation of quantum statistics and the measures of quantum information. We study uncertainty relations in product and summation forms of metric-adjusted skew information. We present lower bounds on product and summation uncertainty inequalities based on metric-adjusted skew information via operator representation of observables. Explicit examples are provided to back our claims.
引用
收藏
页数:5
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