Costa Ana C S, Uola Roope, Gühne Otfried
Naturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068 Siegen, Germany.
Entropy (Basel). 2018 Oct 5;20(10):763. doi: 10.3390/e20100763.
The effect of quantum steering describes a possible action at a distance via local measurements. Whereas many attempts on characterizing steerability have been pursued, answering the question as to whether a given state is steerable or not remains a difficult task. Here, we investigate the applicability of a recently proposed method for building steering criteria from generalized entropic uncertainty relations. This method works for any entropy which satisfy the properties of (i) (pseudo-) additivity for independent distributions; (ii) state independent entropic uncertainty relation (EUR); and (iii) joint convexity of a corresponding relative entropy. Our study extends the former analysis to Tsallis and Rényi entropies on bipartite and tripartite systems. As examples, we investigate the steerability of the three-qubit GHZ and W states.
量子导引效应描述了一种通过局部测量实现的可能的非定域作用。尽管人们已经进行了许多表征导引性的尝试，但回答给定状态是否可导引这一问题仍然是一项艰巨的任务。在此，我们研究一种最近提出的从广义熵不确定性关系构建导引判据的方法的适用性。该方法适用于任何满足以下性质的熵：(i) 独立分布的（伪）可加性；(ii) 与状态无关的熵不确定性关系（EUR）；以及(iii) 相应相对熵的联合凸性。我们的研究将之前的分析扩展到了二体和三体系统上的Tsallis熵和Rényi熵。作为示例，我们研究了三量子比特GHZ态和W态的导引性。
