In this paper, we use certain norm inequalities to obtain new uncertain relations based on the Wigner-Yanase skew information. First for an arbitrary finite number of observables we derive an uncertainty relation outperforming previous lower bounds. We then propose new weighted uncertainty relations for two noncompatible observables. Two separable criteria via skew information are also obtained.

中文翻译：

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基于 Wigner-Yanase 偏斜信息的不确定关系

在本文中，我们利用一定的范数不等式，基于 Wigner-Yanase skew 信息获得新的不确定关系。首先，对于任意有限数量的可观察量，我们推导出优于先前下界的不确定性关系。然后，我们为两个不兼容的可观测值提出了新的加权不确定关系。还通过偏斜信息获得了两个可分离的标准。