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arXiv 0710.1935quant-ph
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本土现实主义理论的分类

Classification of local realistic theories

Koji Nagata

摘要:

最近,它已表明,一个明确的本地现实模型的值的关联函数,在一个双设置贝尔实验(双设置模型),仅适用于给定实验中的特定设置集,但不能为{ \it continuous-infinite}设置Bell实验中给出的关联函数值构建局部现实模型(无限设置模型),即使存在两个设置模型的所有方向的空间。因此,两集模型不具有无限集模型所具有的性质。在这里,我们表明,一个明确的两个设置模型不能构建一个本地现实的模型的关联函数的值,在一个{ \it只有离散三}设置贝尔实验(三设置模型),即使存在两个设置模型的三个测量方向选择在给定的三设置实验。因此,二设定模型不具有三设定模型所具有的性质。

英文摘要:

Recently, it has shown that an explicit local realistic model for the values of a correlation function, given in a two-setting Bell experiment (two-setting model), works only for the specific set of settings in the given experiment, but cannot construct a local realistic model for the values of a correlation function, given in a {\it continuous-infinite} settings Bell experiment (infinite-setting model), even though there exist two-setting models for all directions in space. Hence, two-setting model does not have the property which infinite-setting model has. Here, we show that an explicit two-setting model cannot construct a local realistic model for the values of a correlation function, given in a {\it only discrete-three} settings Bell experiment (three-setting model), even though there exist two-setting models for the three measurement directions chosen in the given three-setting experiment. Hence, two-setting model does not have the property which three-setting model has.

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