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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