Tighter sum uncertainty relations via(α,β,γ)weighted Wigner–Yanase–Dyson skew information

作     者：Cong Xu Zhaoqi Wu Shao-Ming Fei Cong Xu;Zhaoqi Wu;Shao-Ming Fei

作者机构：School of Mathematical SciencesCapital Normal UniversityBeijing 100048China Department of MathematicsNanchang UniversityNanchang 330031China Max-Planck-Institute for Mathematics in the Sciences04103 LeipzigGermany 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2024年第76卷第3期

页      面：91-99页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 0702[理学-物理学] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.12161056,12075159,12171044) Jiangxi Provincial Natural Science Foundation(Grant No.20232ACB211003) the Academician Innovation Platform of Hainan Province。 

主　　题：quantum channels (α,β,γ)WWYD skew information (α,β,γ)MWWYD skew information uncertainty relations 

摘      要：We establish tighter uncertainty relations for arbitrary finite observables via(α,β,γ)weighted Wigner–Yanase–Dyson((α,β,γ)WWYD)skew information.The results are also applicable to the(α,γ)weighted Wigner–Yanase–Dyson((α,γ)WWYD)skew information and the weighted Wigner–Yanase–Dyson(WWYD)skew information.We also present tighter lower bounds for quantum channels and unitary channels via(α,β,γ)modified weighted Wigner–Yanase–Dyson((α,β,γ)MWWYD)skew information.Detailed examples are provided to illustrate the tightness of our uncertainty relations.