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We use a novel formation to illustrate the ($\alpha,\beta,\gamma$) modifiedweighted Wigner-Yanase-Dyson (($\alpha,\beta,\gamma$) MWWYD) skew informationof quantum channels. By using operator norm inequalities, we explore the sumuncertainty relations for arbitrary $N$ quantum channels and for unitarychannels. These uncertainty inequalities are shown to be tighter than theexisting ones by a detailed example. Our results are also applicable to themodified weighted Wigner-Yanase-Dyson (MWWYD) skew information and the($\alpha,\gamma$) modified weighted Wigner-Yanase-Dyson (($\alpha,\gamma$)MWWYD) skew information of quantum channels as special cases.

Tighter uncertainty relations based on $(\alpha,\beta,\gamma)$ modified weighted Wigner-Yanase-Dyson skew information of quantum channels