The skew information has important applications in quantum theory. In this paper, a measure for correlations in terms of the skew information is introduced and discussed. Its fundamental properties are obtained, which include the measure is locally unitary invariant and convex on the set of states with the fixed marginal state, moreover, it decreases under local random unitary operation. Lastly, we propose an entanglement criterion in terms of the quantum skew information and illustrate the significance of this criterion by some examples.

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通过偏斜信息表征相关性

偏斜信息在量子理论中具有重要的应用。在本文中，介绍并讨论了一种关于偏度信息的相关度量。得到了它的基本特性，包括在具有固定边际状态的状态集上的局部locally不变性和凸性，并且在局部随机unit操作下减小。最后，我们根据量子偏斜信息提出了一个纠缠准则，并通过一些例子说明了该准则的重要性。