度、级和情境性的轮廓
Degrees, Levels, and Profiles of Contextuality
AI总结：
本文提出情境性轮廓的概念，通过曲线描述情境性程度与系统考虑层级的关系，结合多种情境性度量方法，系统探讨了情境性轮廓。
摘要：
我们引入了一个新的概念，即随机变量系统的contextuality profile。不同于用单一数字表征系统的contextuality程度，我们展示了如何通过曲线将contextuality程度与系统所考虑的层级联系起来。一个系统在层级n时，仅考虑最多n个变量的联合分布，忽略更高阶的联合分布。我们证明层级-wise的contextuality分析可以与任何良好的contextuality度量结合使用。我们提出了一种串联系统的办法来系统地探索contextuality profiles，并将其应用于文献中三种主要的contextuality度量的contextuality profiles。
英文摘要：
We introduce a new notion, that of a contextuality profile of a system of random variables. Rather than characterizing a system's contextuality by a single number, its overall degree of contextuality, we show how it can be characterized by a curve relating degree of contextuality to level at which the system is considered. A system is represented at level n if one only considers the joint distributions with no more than n variables, ignoring higher-order joint distributions. We show that the level-wise contextuality analysis can be used in conjunction with any well-constructed measure of contextuality. We present a method of concatenated systems to explore contextuality profiles systematically, and we apply it to the contextuality profiles for three major measures of contextuality proposed in the literature.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
