On the violation of Bell's inequality in quantum theory

doi:10.1016/0375-9601(87)90075-2

Physics Letters A

Volume 120, Issue 2, 2 February 1987, Pages 54-56

https://doi.org/10.1016/0375-9601(87)90075-2 Get rights and content

Abstract

Elementary considerations concerning Bell's inequality are presented and applied to the quantum theory of local observables.

References (8)

S.J. Summers et al.
Phys. Lett. A
(1985)
L. Landau
Experimental tests of general quantum theories
(1986)
B.S. Cirel'son
Lett. Math. Phys.
(1980)
J.S. Bell
Physics
(1964)
A. Fine
Phys. Rev. Lett.
(1982)

There are more references available in the full text version of this article.

Cited by (176)

Inequalities for complementarity in observed statistics
2022, Physics Letters, Section A: General, Atomic and Solid State Physics
Citation Excerpt :
The concept of complementarity has been deeply debated from its very formalization [1–3] which is still aim of discussion from a qualitative but also quantitative point of view [4–6]. In addition, it is one of the basic ingredients of Bell analysis, along with entanglement [7–23] and it plays an essential role in new quantum technologies [24,25]. In this work we look for inequalities involving observable mean values and correlations that may disclose complementarity as a nonclassical effect incompatible with classical statistical models.
We provide an analysis of complementarity via a suitably designed classical model that leads to a set of inequalities that can be tested by means of unsharp measurements. We show that, if the measured statistics does not fulfill the inequalities it is equivalent to the lack of a joint distribution for the incompatible observables. This is illustrated by path-interference duality in a Young interferometer.
Type II entanglement in classical mechanics
2021, Results in Physics
A classical analog of entanglement using classical light beams was proposed recently. It was shown that this analog is valid only for single-particle entanglement (type II). By extending our previous study, which indicated how quantum entanglement spans the laws of classical mechanics, we show that “classical entanglement” applies not only to fast-moving particles but to all classical particles. In fact, we show that classical mechanics laws, when applied to a single particle, are spanned by type II entanglement. The present study concludes our investigation of classical mechanics laws as a collapse of entangled states into labeled states.
Quantum Nonlocality: How Does Nature Do It?
2024, Entropy
Quantum Nonlocality: How does Nature do it?
2024, arXiv
Measurement incompatibility at remote entangled parties is insufficient for Bell nonlocality in two-input and two-output setting
2023, arXiv
Decoherence-induced strongly sub-Poissonian nonlocality
2023, Physical Review A

View all citing articles on Scopus

View full text

On the violation of Bell's inequality in quantum theory

Abstract

Phys. Lett. A

Experimental tests of general quantum theories

Lett. Math. Phys.

Physics

Phys. Rev. Lett.