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Bounds on quantum probabilities and expectation values are derived for experimental setups associated with Bell-type inequalities. In analogy to the classical bounds, the quantum limits are experimentally testable and therefore serve as…

量子物理 · 物理学 2007-05-23 Stefan Filipp , Karl Svozil

Within Guney-Hillery approach a number of examples of classical and quantum bounds on sum of probabilities resulting from two orbits of $S_4$ is considered. It is shown that the violation of Bell's inequalities is rather rare and gentle.

量子物理 · 物理学 2020-01-07 Katarzyna Bolonek-Lason , Piotr Kosinski

For many decades the word "entanglement" has been firmly attached to the world of quantum mechanics. So is the phrase "Bell violation". Here we show, without contradicting quantum mechanics, that classical non-deterministic fields also…

量子物理 · 物理学 2015-09-12 X. -F. Qian , J. H. Eberly

According to Bell's theorem a large class of hidden-variable models obeying Bell's notion of local causality conflict with the predictions of quantum mechanics. Recently, a Bell-type theorem has been proven using a weaker notion of local…

量子物理 · 物理学 2012-03-05 Samuel Portmann , Adrian Wuethrich

The singularity theorems of classical general relativity are briefly reviewed. The extent to which their conclusions might still apply when quantum theory is taken into account is discussed. There are two distinct quantum loopholes: quantum…

广义相对论与量子宇宙学 · 物理学 2007-05-23 L. H. Ford

Bell test is one of the most important tools in quantum information science. On the one hand, it enables fundamental test for the physics laws of nature, and on the other hand, it can be also applied in varieties of device independent tasks…

量子物理 · 物理学 2015-08-18 Xiao Yuan , Qi Zhao , Xiongfeng Ma

Description of nonclassicality of states has hitherto been through violation of Bell inequality and non-separability, with the latter being a stronger constraint. In this paper, we show that this can be further sharpened, by introducing the…

量子物理 · 物理学 2015-06-18 H. M. Bharath , V. Ravishankar

Since Bell's theorem, it is known that the concept of local realism fails to explain quantum phenomena. Indeed, the violation of a Bell inequality has become a synonym of the incompatibility of quantum theory with our classical notion of…

Violations of Bell inequalities have been an incontestable indicator of non-classicality since the seminal paper by John Bell. However, recent claims of Bell inequalities violations with classical light have cast some doubts on their…

量子物理 · 物理学 2018-01-09 Marcin Markiewicz , Dagomir Kaszlikowski , Pawel Kurzynski , Antoni Wojcik

Experimental tests of Bell inequalities ought to take into account all detection events. If the latter are postselected, and only some of these events are included in the statistical analysis, a Bell inequality may be violated, even by…

量子物理 · 物理学 2007-05-23 Asher Peres

We study transformations of conventional (`classical') probabilities induced by context transitions. It is demonstrated that the transition from one complex of conditions to another induces a perturbation of the classical rule for the…

量子物理 · 物理学 2007-05-23 Andrei Khrennikov

Classical probability theory is based on assumptions which are often violated in practice. Therefore quantum probability is a proposed alternative not only in quantum physics, but also in other sciences. However, so far it mostly criticizes…

量子物理 · 物理学 2024-01-23 Mirko Navara , Jan Ševic

We show that the so-called quantum probabilistic rule, usually presented in the physical literature as an argument of the essential distinction between the probability relations under quantum and classical measurements, is not, as it is…

量子物理 · 物理学 2019-11-19 Andrei Khrennikov , Elena Loubenets

This paper analyzes effects of time-dependence in the Bell inequality. A generalized inequality is derived for the case when coincidence and non-coincidence [and hence whether or not a pair contributes to the actual data] is controlled by…

量子物理 · 物理学 2022-03-16 Jan-Åke Larsson , Richard Gill

Scientific imagination and experimental ingenuity are at the heart of physics. One of the most known instances where this interplay between theory (i.e., foundations) and experiments (i.e., technology) occurs is in the discussion of Bell's…

量子物理 · 物理学 2024-05-02 Carlo Cafaro , Christian Corda , Philip Cairns , Ayhan Bingolbali

A quantum particle moving in a gravitational field may penetrate the classically forbidden region of the gravitational potential. This raises the question of whether the time of flight of a quantum particle in a gravitational field might…

量子物理 · 物理学 2009-11-10 P. C. W. Davies

The aim of this paper is to analyze the reconstructability of quantum mechanics from classical conditional probabilities representing measurement outcomes conditioned on measurement choices. We will investigate how the quantum mechanical…

量子物理 · 物理学 2019-06-13 Gábor Hofer-Szabó

Bell-type inequalities and violations thereof reveal the fundamental differences between standard probability theory and its quantum counterpart. In the course of previous investigations ultimate bounds on quantum mechanical violations have…

量子物理 · 物理学 2007-05-23 Stefan Filipp , Karl Svozil

In a previous paper a formalism to analyze the dynamical evolution of classical and quantum probability distributions in terms of their moments was presented. Here the application of this formalism to the system of a particle moving on a…

量子物理 · 物理学 2014-12-19 David Brizuela

A number of papers have suggested that it is inappropriate to combine data from different experiments when undertaking experimental tests of Bell's inequalities. It has been suggested that a correct analysis, using a single probability…

量子物理 · 物理学 2017-01-10 C M Care