Incompleteness in the Bell Theorem with an Arbitrary Number of Settings

Koji Nagata*, Renata Wong, Santanu Kumar Patro, Do Ngoc Diep, Tadao Nakamura

*此作品的通信作者

研究成果: 期刊稿件文章同行評審

摘要

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 M, we consider a M-setting Bell experiment. Two-setting model is an explicit local realistic model for the values of a correlation function, given in a two-setting Bell experiment. M-setting model is an explicit local realistic model for the values of a correlation function, given in a M-setting Bell experiment. Surprisingly we can discuss incompleteness in the Bell theorem. Also, we show a loophole problem of all the Bell-CHSH experimental claims. We discuss every Bell-CHSH experiment admits a local realistic theory if we rule out probability and statistics from the analysis of the experiment. We cannot obtain a violation of a Bell-CHSH inequality when we use only number theory and we do not use probability and statistics.

原文英語
頁(從 - 到)3426-3435
頁數10
期刊International Journal of Theoretical Physics
59
發行號11
DOIs
出版狀態已出版 - 01 11 2020
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Publisher Copyright:
© 2020, Springer Science+Business Media, LLC, part of Springer Nature.

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