Abstract Examples of violations of Bell inequalities in Special relativity theory (SRT) have led to the need to look for the causes of violations outside of quantum mechanics (QM) and possibly outside of physics. The ability to derive Bell inequalities (BI) from set properties allows us to find the necessary condition for violations: the relativity of sets. At the same time, a necessary condition of a physical theory is the subjective independence (SI) of its propositions. This kind of objectivism, together with the principle of a priori maximum possible ignorance (AMPI), leads to the use of flat spaces in fundamental theories such as QM and SRT, where the principles of SI and AMPI can be implemented. In turn, the measurable quantities represented in spaces turn out to be relative. In this respect, SRT is not much different from QM. This proximity predetermines BI violation in both cases and in both cases the violation of BIs confirms the subject-independent nature of physics. In a classic Gedankenexperiment was demonstrated, that the violation of BI does not contradict the presence of hidden parameters if they are represented by relative quantities. However, the question arises: are relative properties and quantities indeed local?Abstract Examples of violations of Bell inequalities in Special relativity theory (SRT) have led to the need to look for the causes of violations outside of quantum mechanics (QM) and possibly outside of physics. The ability to derive Bell inequalities (BI) from set properties allows us to find the necessary condition for violations: the relativity of sets. At the same time, a necessary condition of a physical theory is the subjective independence (SI) of its propositions. This kind of objectivism, together with the principle of a priori maximum possible ignorance (AMPI), leads to the use of flat spaces in fundamental theories such as QM and SRT, where the principles of SI and AMPI can be implemented. In turn, the measurable quantities represented in spaces turn out to be relative. In this respect, SRT is not much different from QM. This proximity predetermines BI violation in both cases and in both cases the violation of BIs confirms the subject-independent nature of physics. In a classic Gedankenexperiment was demonstrated, that the violation of BI does not contradict the presence of hidden parameters if they are represented by relative quantities. However, the question arises: are relative properties and quantities indeed local?

Jun 30, 20260 citations

Detection efficiency in the loophole-free violation of Svetlichny's inequality

Yang Xiang, Huixian Wang, Fang-Yu Hong

Svetlichny's inequality (SI) is a Bell-like inequality, the violation of which can be used to confirm the existence of genuine multipartite correlations. However, poor detector efficiency can possibly cause a so-called detection loophole in actual Svetlichny experiments. We derive an alternative SI to deal with this loophole. If the experimental data can violate this SI, it must result in loophole-free violation of the original SI. We show that the minimum detection efficiency needed for a loophole-free violation of the tripartite SI is about $0.97$ . For the general case of $n$ particles, we give the analytic expression of the needed detection efficiency, and find that its value monotonically and rapidly approaches 1 as the number of particles increases.Svetlichny's inequality (SI) is a Bell-like inequality, the violation of which can be used to confirm the existence of genuine multipartite correlations. However, poor detector efficiency can possibly cause a so-called detection loophole in actual Svetlichny experiments. We derive an alternative SI to deal with this loophole. If the experimental data can violate this SI, it must result in loophole-free violation of the original SI. We show that the minimum detection efficiency needed for a loophole-free violation of the tripartite SI is about $0.97$. For the general case of $n$ particles, we give the analytic expression of the needed detection efficiency, and find that its value monotonically and rapidly approaches 1 as the number of particles increases.

Physical Review ASep 17, 20124 citations

Bell's inequality violation and symmetry

F. C. Khanna, A. Mann, M. Revzen +1 more

Physics Letters AFeb 1, 20023 citations

On the Applicability of Bell's Inequality

Pierre A. Millette

Progress in physicsJul 1, 20160 citations

Non-local setting and outcome information for violation of Bell's inequality

Marcin Pawłowski, Johannes Kofler, Tomasz Paterek +2 more

Bell's theorem is a no-go theorem stating that quantum mechanics cannot be reproduced by a physical theory based on realism, freedom to choose experimental settings and two locality conditions: setting (SI) and outcome (OI) independence. We provide a novel analysis of what it takes to violate Bell's inequality within the framework in which both realism and freedom of choice are assumed, by showing that it is impossible to model a violation without having information in one laboratory about both the setting and the outcome at the distant one. While it is possible that outcome information can be revealed from shared hidden variables, the assumed experimenter's freedom to choose the settings ensures that the setting information must be non-locally transferred even when the SI condition is obeyed. The amount of transmitted information about the setting that is sufficient to violate the CHSH inequality up to its quantum mechanical maximum is 0.736 bits.Bell's theorem is a no-go theorem stating that quantum mechanics cannot be reproduced by a physical theory based on realism, freedom to choose experimental settings and two locality conditions: setting (SI) and outcome (OI) independence. We provide a novel analysis of what it takes to violate Bell's inequality within the framework in which both realism and freedom of choice are assumed, by showing that it is impossible to model a violation without having information in one laboratory about both the setting and the outcome at the distant one. While it is possible that outcome information can be revealed from shared hidden variables, the assumed experimenter's freedom to choose the settings ensures that the setting information must be non-locally transferred even when the SI condition is obeyed. The amount of transmitted information about the setting that is sufficient to violate the CHSH inequality up to its quantum mechanical maximum is 0.736 bits.

arXiv:0903.5042New Journal of PhysicsAug 25, 201030 citations

0.97

. For the general case of

n

particles, we give the analytic expression of the needed detection efficiency, and find that its value monotonically and rapidly approaches 1 as the number of particles increases.