Quantifying nonclassical correlation via the generalized Wigner-Yanase skew information

Yan Hong, Xinlan Hao, Limin Gao
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Abstract

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 concept of a family of information with important properties, namely the generalized Wigner-Yanase skew information, of which the famous quantum Fisher information and Wigner-Yanase skew information are special cases.We classify the local observables in the generalized Wigner-Yanase skew information into two categories (i.e., orthonormal bases and a Hermitian operator with a fixed nondegenerate spectrum), and based on this, we propose two different forms of indicators to quantify nonclassical correlations of bipartite quantum states. We have not only investigated some important properties of these two kinds of indicators but also illustrated through specific examples that they can indeed capture some nonclassical correlations. Furthermore, we find that these two types of indicators reduce to entanglement measure for bipartite pure states. Specifically, we also derive the relationship between these two indicators and the entanglement measure $I$-concurrence.
通过广义 Wigner-Yanase 偏斜信息量化非经典相关性
非经典相关性是量子信息理论中的一个重要概念,指量子系统之间存在的一种特殊相关性,它超越了经典物理学的范畴。在本文中,我们提出了一个具有重要性质的信息族概念,即广义维格纳-延纳斯偏斜信息,著名的量子费雪信息和维格纳-延纳斯偏斜信息就是其中的特例、我们将广义 Wigner-Yanase 偏斜信息中的局部观测变量分为两类(即正交基和具有固定非enerate 谱的赫米特算子),并在此基础上提出了两种不同形式的指标来量化二元量子态的非经典相关性。我们不仅研究了这两种指标的一些重要特性,还通过具体例子说明了它们确实能捕捉到一些非经典相关性。具体而言,我们还推导出了这两种指标与纠缠度量 I$-复发之间的关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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