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A common experimental strategy for demonstrating non-classical correlations is to show violation of a Bell inequality by measuring a continuously emitted stream of entangled photon pairs. The measurements involve the detection of photons by…

量子物理 · 物理学 2015-03-11 Emanuel Knill , Scott Glancy , Sae Woo Nam , Kevin Coakley , Yanbao Zhang

We introduce a general condition sufficient for the validity of the original Bell inequality (1964) in a local hidden variable (LHV) frame. This condition can be checked experimentally and incorporates only as a particular case the…

量子物理 · 物理学 2010-12-23 Elena R. Loubenets

It is well-known that no local model - in theory - can simulate the outcome statistics of a Bell-type experiment as long as the detection efficiency is higher than a threshold value. For the Clauser-Horne-Shimony-Holt (CHSH) Bell inequality…

量子物理 · 物理学 2023-02-14 Shihan Sajeed , Nigar Sultana , Charles Ci Wen Lim , Vadim Makarov

The detection of nonlocal correlations in a Bell experiment implies almost by definition some intrinsic randomness in the measurement outcomes. For given correlations, or for a given Bell violation, the amount of randomness predicted by…

量子物理 · 物理学 2018-08-20 Erik Woodhead , Boris Bourdoncle , Antonio Acín

The Bell inequality is thought to be a common constraint shared by all models of local hidden variables that aim to describe the entangled states of two qubits. Since the inequality is violated by the quantum mechanical description of these…

综合物理 · 物理学 2020-08-05 David H. Oaknin

We show that nonlocal correlation experiments on the two spatially separated modes of a maximally path-entangled number state may be performed and lead to a violation of a Clauser-Horne Bell inequality for any finite photon number N. We…

量子物理 · 物理学 2009-11-13 Christoph F. Wildfeuer , Austin P. Lund , Jonathan P. Dowling

Entanglement, describing the inseparability of a quantum multiparty system, is one of the most intriguing features of quantum mechanics. Violation of Bell inequality, for ruling out the possibility of local hidden variable theories, is…

量子物理 · 物理学 2017-04-21 Xianxin Guo , Yefeng Mei , Shengwang Du

Recently there has been an increased interest in possible tests of locality via Bell's inequality or tests of entanglement at colliders, in particular at the LHC. These have involved various physical processes, such as $t \bar t$, or…

高能物理 - 唯象学 · 物理学 2025-07-23 Steven A. Abel , Herbi K. Dreiner , Rhitaja Sengupta , Lorenzo Ubaldi

The violation of a Bell inequality is a striking demonstration of how quantum mechanics contradicts local realism. Although the original argument was presented with a pair of spin 1/2 particles, so far Bell inequalities have been shown to…

量子物理 · 物理学 2019-10-30 D. K. Shin , B. M. Henson , S. S. Hodgman , T. Wasak , J. Chwedenczuk , A. G. Truscott

Derivations of two Bell's inequalities are given in a form appropriate to the interpretation of experimental data for explicit determination of all the correlations. They are arithmetic identities independent of statistical reasoning and…

量子物理 · 物理学 2009-11-07 Louis Sica

The violation of Bell's inequality requires a well-designed experiment to validate the result. In experiments using energy-time and time-bin entanglement, initially proposed by Franson in 1989, there is an intrinsic loophole due to the high…

The Bell experiment is a random game with two binary outcomes whose statistical correlation is given by $E_0(\Theta)=-\cos(\Theta)$, where $\Theta \in [-\pi, \pi)$ is an angular input that parameterizes the game setting. The correlation…

量子物理 · 物理学 2020-05-26 David H. Oaknin

For a system composed of two particles Bell's theorem asserts that averages of physical quantities determined from local variables must conform to a family of inequalities. In this work we show that a classical model containing a local…

量子物理 · 物理学 2008-06-22 A. Matzkin

Recent experiments using innovative optical detectors and techniques have strongly increased the capacity of testing the violation of the Bell's inequalities in the Nature. Most of them have used the Eberhardt's inequality (EI) to close the…

量子物理 · 物理学 2017-02-08 Alejandro Hnilo

High dimensional quantum entanglement and the advancements in their experimental realization provide a playground for fundamental research and eventually lead to quantum technological developments. The Horodecki criterion determines whether…

量子物理 · 物理学 2025-04-29 Swapnil Bhowmick , Som Kanjilal , A. K. Pan , Souradeep Sasmal

A parametrization of density matrices of $d$ dimensions in terms of the raising $J_+$ and lowering $J_-$ angular momentum operators is established together with an implicit connection with the generalized Bloch-GellMann parameters. A…

量子物理 · 物理学 2024-11-27 J. A. López-Saldívar , O. Castaños , S. Cordero , R. López-Peña , E. Nahmad-Achar

By taking into account that all real measurements are performed successively, during time, it is concluded that the violation of the Bell's inequalities in the Nature does not refute (even in an ideally perfect experiment) the theories…

量子物理 · 物理学 2014-02-26 Alejandro A. Hnilo

Bell's theorem cannot be proved if complementary measurements have to be represented by random variables which cannot be added or multiplied. One such case occurs if their domains are not identical. The case more directly related to the…

量子物理 · 物理学 2020-12-09 Marek Czachor

Many Bell test results violate Bell's inequality. The premise of Bell's inequality is local determinism. We propose that, it can't be proved that something's mechanism isn't deterministic; if loopholes are not the reason of violation of…

量子物理 · 物理学 2013-07-30 Shoujiang Wang , Xiulan Wang

For a special stochastic realistic model in certain spin-correlation experiments and without imposing the locality condition, an inequality is found. Then, it is shown that quantum theory is able (is possible) to violate this inequality.…

量子物理 · 物理学 2007-05-23 Habibollah Razmi