Measurement dependence, limited detection and more: problems and applications of quantum nonlocality

The work in this thesis focuses on the subject of quantum nonlocality. The fact that the principle of locality is violated in nature is among the most counter-intuitive revelations of the past century. The original proof of the nonlocal nature of quantum mechanics relies on the so-called measurement independence assumption. This assumption has come under scrutiny in recent years, mostly because nonlocality and its implications have found their way into the realm of potential applications. In this thesis, the measurement independence assumption is relaxed and replaced by a form of limited measurement dependence. The resulting set is analyzed and it is shown that the nonlocal features of quantum mechanics resist arbitrary lack of free choice. Additionally, a new perspective on how to deal with the so-called detection loophole is provided by the definition of limited detection locality. Finally, work on applications of quantum nonlocality, specifically entanglement certification and quantification is presented