论语境性的图形方法的几何方面
On geometrical aspects of the graph approach to contextuality
摘要：
上下文和图论之间的联系导致了该领域的许多发展。特别是，在许多情境场景中的概率分布的集合可以使用来自图论的众所周知的凸集来描述，从而导致这样的集合的美丽的几何表征。这种几何也可以在基于几何距离的上下文量词的定义中进行探索，这对上下文的资源理论很重要，在认识到上下文是量子计算的潜在资源之后发展起来。在本文中，我们回顾了几何方面的上下文，并用它来定义几个量词，这是适用于上下文的排他性方法的优势，以前定义的量词不适合。
英文摘要：
The connection between contextuality and graph theory has led to many developments in the field. In particular, the sets of probability distributions in many contextuality scenarios can be described using well known convex sets from graph theory, leading to a beautiful geometric characterization of such sets. This geometry can also be explored in the definition of contextuality quantifiers based on geometric distances, which is important for the resource theory of contextuality, developed after the recognition of contextuality as a potential resource for quantum computation. In this paper we review the geometric aspects of contextuality and use it to define several quantifiers, which have the advantage of being applicable to the exclusivity approach to contextuality, where previously defined quantifiers do not fit.
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。
