Tighter uncertainty relations based on modified weighted Wigner–Yanase–Dyson skew information of quantum channels

Abstract

We use a novel formation to illustrate the () modified weighted Wigner–Yanase–Dyson (() MWWYD) skew information of quantum channels. By using operator norm inequalities, we explore the sum uncertainty relations for arbitrary N quantum channels and for unitary channels. These uncertainty inequalities are shown to be tighter than the existing ones by a detailed example. Our results are also applicable to the MWWYD skew information and the () modified weighted Wigner–Yanase–Dyson (() MWWYD) skew information of quantum channels as special cases.