Tighter sum uncertainty relations via metric-adjusted skew information

• URL: http://arxiv.org/abs/2205.09286v2
• Date: Fri, 5 Aug 2022 03:44:25 GMT
• Title: Tighter sum uncertainty relations via metric-adjusted skew information
• Authors: Hui Li, Ting Gao, Fengli Yan
• Abstract summary: We first provide three general norm inequalities, which are used to give new uncertainty relations of any finite observables and quantum channels. The results are applicable to its special cases as Wigner-Yanase-Dyson skew information.
• Score: 3.3986886334340616
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper, we first provide three general norm inequalities, which are used to give new uncertainty relations of any finite observables and quantum channels via metric-adjusted skew information. The results are applicable to its special cases as Wigner-Yanase-Dyson skew information. In quantifying the uncertainty of channels, we discuss two types of lower bounds and compare the tightness between them, meanwhile, a tight lower bound is given. The uncertainty relations obtained by us are stronger than the existing ones. To illustrate our results, we give several specific examples.

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