TY - JOUR

T1 - Incompleteness in the Bell Theorem with an Arbitrary Number of Settings

AU - Nagata, Koji

AU - Wong, Renata

AU - Patro, Santanu Kumar

AU - Diep, Do Ngoc

AU - Nakamura, Tadao

N1 - Publisher Copyright:
© 2020, Springer Science+Business Media, LLC, part of Springer Nature.

PY - 2020/11/1

Y1 - 2020/11/1

N2 - 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.

AB - 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.

KW - Formalism

KW - Quantum measurement theory

KW - Quantum non locality

UR - http://www.scopus.com/inward/record.url?scp=85091726406&partnerID=8YFLogxK

U2 - 10.1007/s10773-020-04601-2

DO - 10.1007/s10773-020-04601-2

M3 - 文章

AN - SCOPUS:85091726406

SN - 0020-7748

VL - 59

SP - 3426

EP - 3435

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

IS - 11

ER -