A note on uncertainty relations of metric-adjusted skew information
- URL: http://arxiv.org/abs/2203.01109v2
- Date: Fri, 17 Feb 2023 15:29:47 GMT
- Title: A note on uncertainty relations of metric-adjusted skew information
- Authors: Qing-Hua Zhang, Jing-Feng Wu, Xiaoyu Ma and Shao-Ming Fei
- Abstract summary: Uncertainty principle is one of the fundamental features of quantum mechanics.
We study uncertainty relations based on metric-adjusted skew information for finite quantum observables.
- Score: 10.196893054623969
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The uncertainty principle is one of the fundamental features of quantum
mechanics and plays a vital role in quantum information processing. We study
uncertainty relations based on metric-adjusted skew information for finite
quantum observables. Motivated by the paper [Physical Review A 104, 052414
(2021)], we establish tighter uncertainty relations in terms of different norm
inequalities. Naturally, we generalize the method to uncertainty relations of
metric-adjusted skew information for quantum channels and unitary operators. As
both the Wigner-Yanase-Dyson skew information and the quantum Fisher
information are the special cases of the metric-adjusted skew information
corresponding to different Morozova-Chentsov functions, our results generalize
some existing uncertainty relations. Detailed examples are given to illustrate
the advantages of our methods.
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