论文标题
关于上下文性和非局部性的可能条件
On Possibilistic Conditions to Contextuality and Nonlocality
论文作者
论文摘要
情境性和非局部性是量子统计表现出的非古典性质，其含义深远影响了量子理论的基础和应用。在本文中，我们提供了一些有关逻辑上下文性和不平等证明的见解。前者可以理解为上下文的可能性版本，而后者则是指量子上下文/非局部性的证据，这些证明不是基于违反某些非上下文性（或贝尔）不平等的行为。目前的工作旨在从我们所谓的可能的悖论中建造这两个概念之间的桥梁，这些悖论是可能发生的可能条件的集合，其发生意味着上下文/非局部性。作为主要结果，我们证明了在非常重要的场景类别中的逻辑上下文性的必要条件。最后，我们讨论了这些可能的悖论的完整性引起的一些有趣的后果。
Contextuality and nonlocality are non-classical properties exhibited by quantum statistics whose implications profoundly impact both foundations and applications of quantum theory. In this paper we provide some insights into logical contextuality and inequality-free proofs. The former can be understood as the possibility version of contextuality, while the latter refers to proofs of quantum contextuality/nonlocality that are not based on violations of some noncontextuality (or Bell) inequality. The present work aims to build a bridge between these two concepts from what we call possibilistic paradoxes, which are sets of possibilistic conditions whose occurrence implies contextuality/nonlocality. As main result, we demonstrate the existence of possibilistic paradoxes whose occurrence is a necessary and sufficient condition for logical contextuality in a very important class of scenarios. Finally, we discuss some interesting consequences arising from the completeness of these possibilistic paradoxes.
