Abstract
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.
基金项目
国家自然科学基金(12161056)
国家自然科学基金(12075159)
国家自然科学基金(12171044)
江西省自然科学基金(20232ACB211003)
AcademicianInnovation Platform of Hainan Province()