论文标题
来自多重观察的熵不确定性关系的紧密界限
Tight bounds from multiple-observable entropic uncertainty relations
论文作者
论文摘要
我们通过使用局部测量结果的概率的联合香农熵来定义的熵不确定性关系（EUR），研究了两分和多部分系统的添加性属性。特别是，我们引入了与国家无关和国家依赖性的熵不平等。有趣的是，违反这些不平等现象与量子相关的存在严格有关。我们表明，欧元的添加性仅适用于涉及两个可观察到的欧元，而对于考虑两个以上可观察到的不平等或增加了子系统的von Neumann熵的不平等而言，情况并非如此。我们将它们应用于两分的系统和三个Qubit系统的几类状态。
We investigate the additivity properties for both bipartite and multipartite systems by using entropic uncertainty relations (EUR) defined in terms of the joint Shannon entropy of probabilities of local measurement outcomes. In particular, we introduce state-independent and state-dependent entropic inequalities. Interestingly, the violation of these inequalities is strictly connected with the presence of quantum correlations. We show that the additivity of EUR holds only for EUR that involve two observables, while this is not the case for inequalities that consider more than two observables or the addition of the von Neumann entropy of a subsystem. We apply them to bipartite systems and to several classes of states of a three-qubit system.
