About: Counterfactual definiteness is a research topic. Over the lifetime, 251 publications have been published within this topic receiving 11061 citations. The topic is also known as: CD & CFD.
TL;DR: Even though quantum correlations violate Bell's inequality, they satisfy weaker inequalities of a similar type as mentioned in this paper, and some particular inequalities of this kind are proved in some particular cases of quantum correlations.
Abstract: Even though quantum correlations violate Bell's inequality, they satisfy weaker inequalities of a similar type. Some particular inequalities of this kind are proved here. The more general case of instruments located in different space-time regions is also discussed in some detail.
TL;DR: In this article, a strong violation of Bell's inequality was observed in an Einstein-Podolsky-Rosen-type experiment with independent observers, where the necessary spacelike separation of the observations is achieved by sufficient physical distance between the measurement stations, by ultrafast and random setting of the analyzers, and by completely independent data registration.
Abstract: We observe strong violation of Bell's inequality in an Einstein-Podolsky-Rosen-type experiment with independent observers. Our experiment definitely implements the ideas behind the well-known work by Aspect et al. We for the first time fully enforce the condition of locality, a central assumption in the derivation of Bell's theorem. The necessary spacelike separation of the observations is achieved by sufficient physical distance between the measurement stations, by ultrafast and random setting of the analyzers, and by completely independent data registration.
TL;DR: In this article, a broad class of theories called "objective local theories" are defined, motivation for considering these theories is given, and experimental consequences of the class are investigated.
Abstract: A broad class of theories, called "objective local theories," is defined, motivation for considering these theories is given, and experimental consequences of the class are investigated. An extension of previous analyses by Bell and by Clauser et al. shows that predictions of objective local theories and of quantum mechanics differ, and that an experimental test of the entire family of objective local theories can be performed. The experimental requirements are given. Objective local theories satisfying a plausible but experimentally untestable supplementary assumption are shown to be incompatible with existing experimental data.
TL;DR: In this paper, it was shown that the following statements about a quantum correlation experiment are mutually equivalent: (1) there is a deterministic hidden-variables model for the experiment, which is a factorizable, stochastic model.
Abstract: It is shown that the following statements about a quantum correlation experiment are mutually equivalent. (1) There is a deterministic hidden-variables model for the experiment. (2) There is a factorizable, stochastic model. (3) There is one joint distribution for all observables of the experiment, returning the experimental probabilities. (4) There are well-defined, compatible joint distributions for all pairs and triples of commuting and noncommuting observables. (5) The Bell inequalities hold.
TL;DR: In this paper, the authors analyzed and compared the mathematical formulations of the criterion for separability for bipartite density matrices and the Bell inequalities and showed that a violation of a Bell inequality can formally be expressed as a witness for entanglement.