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

作　　者：Cong Xu Zhaoqi Wu Shao-Ming Fei 

机构地区：[1]School of Mathematical Sciences,Capital Normal University,Beijing 100048,China [2]Department of Mathematics,Nanchang University,Nanchang 330031,China [3]Max-Planck-Institute for Mathematics in the Sciences,04103 Leipzig,Germany

出　　处：《Communications in Theoretical Physics》2024年第3期91-99,共9页理论物理通讯（英文版）

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。

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.

关 键 词：quantum channels (α β γ)WWYD skew information (α β γ)MWWYD skew information uncertainty relations 

分 类 号：O413.1[理学—理论物理]