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相关论文: A note on Wigner-Yanase skew information-based unc…

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Uncertainty principle plays a vital role in quantum physics. The Wigner-Yanase skew information characterizes the uncertainty of an observable with respect to the measured state. We generalize the uncertainty relations for two quantum…

量子物理 · 物理学 2021-09-06 Qing-Hua Zhang , Jing-Feng Wu , Shao-Ming Fei

The Wigner-Yanase skew information stands for the uncertainty about the information on the values of observables not commuting with the conserved quantity. The Wigner-Yanase skew information-based uncertainty relations can be regarded as a…

量子物理 · 物理学 2024-05-21 Qing-Hua Zhang , Shao-ming Fei

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…

量子物理 · 物理学 2021-05-11 Limei Zhang , Ting Gao , Fengli Yan

The variance of an observable in a quantum state is usually used to describe Heisenberg uncertainty relation. For mixed states, the variance includes quantum uncertainty and classical uncertainty. By means of the skew information and the…

量子物理 · 物理学 2012-05-07 D. Li , X. Li , F. Wang , X. Li , H. Huang , L. C. Kwek

Uncertainty relation is a fundamental issue in quantum mechanics and quantum information theory. By using modified generalized variance (MGV), and modified generalized Wigner-Yanase-Dyson skew information (MGWYD), we identify the total and…

量子物理 · 物理学 2022-08-16 Cong Xu , Zhaoqi Wu , Shao-Ming Fei

Nonclassical correlations are significant physical resources with extensive applications in quantum information processing. We introduce the modified Wigner-Yanase-Dyson skew information of a quantum state relative to a quantum channel, and…

量子物理 · 物理学 2025-11-11 Cong Xu , Tao Li , Ruonan Ren , Ming-Jing Zhao , Shao-Ming Fei

We study sum uncertainty relations for arbitrary finite $N$ quantum mechanical observables. Some uncertainty inequalities are presented by using skew information introduced by Wigner and Yanase. These uncertainty inequalities are nontrivial…

量子物理 · 物理学 2016-06-07 Bin Chen , Shao-Ming Fei , Gui-Lu Long

We study the sum uncertainty relations based on variance and skew information for arbitrary finite N quantum mechanical observables. We derive new uncertainty inequalities which improve the exiting results about the related uncertainty…

量子物理 · 物理学 2021-11-18 Qing-Hua Zhang , Shao-Ming Fei

We give a trace inequality related to the uncertainty relation of Wigner-Yanase-Dyson skew information. This inequality corresponds to a generalization of the uncertainty relation derived by S. Luo for the quantum uncertainty quantity…

量子物理 · 物理学 2009-07-10 Kenjiro Yanagi

We use a novel formation to illustrate the ($\alpha,\beta,\gamma$) modified weighted Wigner-Yanase-Dyson (($\alpha,\beta,\gamma$) MWWYD) skew information of quantum channels. By using operator norm inequalities, we explore the sum…

量子物理 · 物理学 2023-10-24 Cong Xu , Zhaoqi Wu , Shao-Ming Fei

By revisiting the mathematical foundation of the uncertainty relation, skew information-based uncertainty sequences are developed for any two quantum channels. A reinforced version of the Cauchy-Schwarz inequality is adopted to improve the…

量子物理 · 物理学 2023-10-11 Xiaoli Hu , Naihong Hu , Bing Yu , Naihuan Jing

We report a refinement of Robertson-Schroedinger uncertainty relation via Wigner-Yanase skew information. Besides the well known quantum uncertainty arising from the noncommutativity of observables, there is classical uncertainty arising…

量子物理 · 物理学 2013-03-27 Sixia Yu , C. H. Oh

We introduce a generalized Wigner-Yanase skew information and then derive the trace inequality related to the uncertainty relation. This inequality is a non-trivial generalization of the uncertainty relation derived by S.Luo for the quantum…

量子物理 · 物理学 2010-01-10 S. Furuichi , K. Yanagi , K. Kuriyama

Uncertainty relation is a core issue in quantum mechanics and quantum information theory. We introduce modified generalized Wigner-Yanase-Dyson (MGWYD) skew information and modified weighted generalizedWigner-Yanase-Dyson (MWGWYD) skew…

量子物理 · 物理学 2020-04-27 Zhaoqi Wu , Lin Zhang , Jianhui Wang , Xianqing Li-Jost , Shao-Ming Fei

This note explores uncertainty inequalities for quantum analogues of the Fisher information including the Wigner-Yanase skew information, and their connection to the quantum Sobolev inequalities proved by the author in [Journal of…

数学物理 · 物理学 2025-08-22 Laurent Lafleche

In this paper, we use certain norm inequalities to obtain new uncertain relations based on the Wigner-Yanase skew information. First for an arbitrary finite number of observables we derive an uncertainty relation outperforming previous…

量子物理 · 物理学 2020-08-26 Xiaofen Huang , Tinggui Zhang , Naihuan Jing

We present the uncertainty relations in terms of the symmetrized \r{ho}-absolute variance, which generalizes the uncertainty relations for arbitrary operator (not necessarily Hermitian) to quantum channels. By recalling the quantity…

量子物理 · 物理学 2024-10-16 Cong Xu , Qing-Hua Zhang , Shao-Ming Fei

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…

量子物理 · 物理学 2023-04-27 Hui Li , Ting Gao , Fengli Yan

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…

量子物理 · 物理学 2023-02-21 Qing-Hua Zhang , Jing-Feng Wu , Xiaoyu Ma , Shao-Ming Fei

Nonclassical correlation is an important concept in quantum information theory, referring to a special type of correlation that exists between quantum systems, which surpasses the scope of classical physics. In this paper, we introduce the…

量子物理 · 物理学 2025-05-05 Yan Hong , Xinlan Hao , Limin Gao
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