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

Abstract

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.