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.
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