论文标题
在兼容性方案中的行为的上下文默认行为
Contextuality-by-default for behaviours in compatibility scenarios
论文作者
论文摘要
我们表明，在上下文默认（cbd）背后的主要思想，即，必须将物理测量必须理解为随机变量的上下文集合的假设，隐含在兼容性 - 佩尔格图上情境性（CA）的方法中，并使用此结果在以前引入的后一个重要概念中使用此结果。我们在CA中引入非分类条件，该条件类似于一致的连接性，并证明这种情况通常比非扰动条件弱。一组非脱位行为定义了多元化，这意味着人们可以使用线性不等式表征一致的连接性。我们介绍了行为的扩展上下文性的想法，并证明行为在标准意义上是非义面的，如果FF是非分化的，并且在扩展意义上是非偏置的。最后，我们使用扩展的场景和行为来确定结果的新启示。
We show that the main idea behind contextuality-by-default (CbD), i.e., the assumption that a physical measurement has to be understood as a contextual collection of random variables, is implicit in the compatibility-hypergraph approach to contextuality (CA) and use this result to develop in the latter important concepts which were introduced in the former. We introduce in CA the non-degeneracy condition, which is the analogous of consistent connectedness, and prove that this condition is, in general, weaker than non-disturbance condition. The set of non-degenerate behaviours defines a polytope, implying that one can characterize consistent connectedness using linear inequalities. We introduce the idea of extended contextuality for behaviours and prove that a behaviour is non-contextual in the standard sense iff it is non-degenerate and non-contextual in the extended sense. Finally, we use extended scenarios and behaviours to shed new light on our results.
