Related papers: Tighter uncertainty relations based on Wigner-Yanase skew information for observables and channels

Tighter uncertainty relations based on Wigner-Yanase skew information for observables and channels

URL: http://arxiv.org/abs/2002.11884v1
Date: Thu, 27 Feb 2020 02:40:23 GMT
Title: Tighter uncertainty relations based on Wigner-Yanase skew information for observables and channels
Authors: Limei Zhang, Ting Gao, Fengli Yan
Abstract summary: Wigner-Yanase skew information, as a measure of quantum uncertainties, is used to characterize intrinsic features of the state and the observable. We investigate the sum uncertainty relations for both quantum mechanical observables and quantum channels based on skew information.
Score: 1.2375561840897742
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Uncertainty principle is the basis of quantum mechanics. It reflects the basic law of the movement of microscopic particles. Wigner-Yanase skew information, as a measure of quantum uncertainties, is used to characterize the intrinsic features of the state and the observable. In this paper, we mainly investigate the sum uncertainty relations for both quantum mechanical observables and quantum channels based on skew information. We establish a new uncertainty relation in terms of Wigner-Yanase skew information for $n$ observables, which is saturated (thus it holds as equality) for two incompatible observables. We also present two uncertainty relations for arbitrary finite $N$ quantum channels by using skew information. Our uncertainty relations have tighter lower bounds than the existing ones. Detailed examples are provided.

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