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arXiv:2401.08641

Tighter sum uncertainty relations via $(α,β,γ)$ weighted Wigner-Yanase-Dyson skew information

Cong Huai Xu, Zhaoqi Wu, Shao-Ming Fei

Published Dec 12, 2023• 0 citations
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Abstract

We establish tighter uncertainty relations for arbitrary finite observables via $(α,β,γ)$ weighted Wigner-Yanase-Dyson ($(α,β,γ)$WWYD) skew information. The results are also applicable to the $(α,γ)$ weighted Wigner-Yanase-Dyson ($(α,γ)$WWYD) skew information and the weighted Wigner-Yanase-Dyson (WWYD) skew information. We also present tighter lower bounds of quantum channels and unitary channels via $(α,β,γ)$ modified weighted Wigner-Yanase-Dyson ($(α,β,γ)$MWWYD) skew information. Detailed examples are provided to illustrate tightness of our uncertainty relations.

DOI
10.48550/arxiv.2401.08641

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