论文标题
使用非上下文的本地现实模型中的钟声定理中的不完整
Incompleteness in the Bell Theorem Using Non-contextual Local Realistic Model
论文作者
论文摘要
在这里，我们考虑了多方状态描述的系统在每个位置测量N-二分法可观察物的情况下。如果n是两个，我们会考虑一个两设定的钟形实验。如果n是三个，我们将考虑一个三设定的钟形实验。两次封闭模型是在两个设定的铃铛实验中给出的相关函数值的明确局部现实模型。三设定模型是一个明确的局部现实模型，用于相关函数的值，在三设定的铃铛实验中给出。在非上下文方案中，三设模型和两设定模型之间没有差异。在这种情况下，我们无法对本地现实的理论进行分类。这说我们可以从两设定模型构建三设模型。出乎意料的是，我们可以使用非上下文模型讨论钟形定理中的不完整性。另一方面，在上下文场景中，三设模型和两设定模型之间存在差异。这说明我们必须将三设定模型与两设定模型区分开。在这种情况下，我们可以对本地现实理论进行分类。
Here, we consider the Bell experiment for a system described by multipartite states in the case where n-dichotomic observables are measured per site. If n is two, we consider a two-setting Bell experiment. If n is three, we consider a three-setting Bell experiment. Twosetting model is an explicit local realistic model for the values of a correlation function, given in a two-setting Bell experiment. Three-setting model is an explicit local realistic model for the values of a correlation function, given in a three-setting Bell experiment. In the non-contextual scenario, there is not the difference between three-setting model and two-setting model. And we cannot classify local realistic theories in this case. This says that we can construct three-setting model from two-setting model. Surprisingly we can discuss incompleteness in the Bell theorem using non-contextual model. On the other hand, in the contextual scenario, there is the difference between three-setting model and two-setting model. This says that we must distinguish three-setting model from two-setting model. And we can classify local realistic theories in this case.
