标题： 基于相对熵的测量诱导非定域性 显示英文标题

标题： Measurement-induced nonlocality based on the relative entropy

摘要： 我们从相对熵的角度量化了测量诱导的非定域性 [Luo 和 Fu, Phys. Rev. Lett. 106, 120401 (2011)]。这种量化为测量诱导的非定域性提供了操作性解释，即它是局部不变测量后最大的熵增加。非定域性的相对熵被测量子系统的熵所上界。我们建立了基于希尔伯特-施密特范数的非定域性的相对熵与几何非定域性之间的关系，并证明它等于最大的可提取纠缠。得到了三部分纯态的几种权衡关系。我们还给出了贝尔对角态的非定域性相对熵的显式表达式。 显示英文摘要

摘要： We quantify the measurement-induced nonlocality [Luo and Fu, Phys. Rev. Lett. 106, 120401 (2011)] from the perspective of the relative entropy. This quantification leads to an operational interpretation for the measurementinduced nonlocality, namely, it is the maximal entropy increase after the locally invariant measurements. The relative entropy of nonlocality is upper bounded by the entropy of the measured subsystem. We establish a relationship between the relative entropy of nonlocality and the geometric nonlocality based on the Hilbert- Schmidt norm, and show that it is equal to the maximal distillable entanglement. Several trade-off relations are obtained for tripartite pure states. We also give explicit expressions for the relative entropy of nonlocality for Bell-diagonal states.