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When a collection of distant observers share an entangled quantum state, the statistical correlations among their measurements may violate a many-body Bell inequality, demonstrating a non-local behavior. Focusing on the Ising model in a…

强关联电子 · 物理学 2019-10-25 Angelo Piga , Albert Aloy , Maciej Lewenstein , Irénée Frérot

We show that a classical fluid mechanical system can violate Bell's inequality because the fluid motion is correlated over large distances.

综合物理 · 物理学 2013-05-30 Robert Brady , Ross Anderson

In spite of the macroscopic character of the primordial fluctuations, the standard inflationary distribution (that obtained using linear mode equations) exhibits inherently quantum properties, that is, properties which cannot be mimicked by…

天体物理学 · 物理学 2009-11-11 David Campo , Renaud Parentani

We report the statistical properties of classical particles in (2+1) gravity as resulting from numerical simulations. Only particle momenta have been taken into account. In the range of total momentum where thermal equilibrium is reached,…

高能物理 - 理论 · 物理学 2009-10-31 M. Ghilardi , E. Guadagnini

In analogy with Bell's inequality for two-qubit quantum states we propose an inequality criterion for the non-separability of the spin-orbit degrees of freedom of a classical laser beam. A definition of separable and non-separable…

量子物理 · 物理学 2011-07-08 C. V. S. Borges , M. Hor-Meyll , J. A. O. Huguenin , A. Z. Khoury

We formulate incomplete classical statistics for situations where the knowledge about the probability distribution outside a local region is limited. The information needed to compute expectation values of local observables can be collected…

高能物理 - 理论 · 物理学 2007-05-23 C. Wetterich

For many decades the word "entanglement" has been firmly attached to the world of quantum mechanics, as is the phrase "Bell violation". Here we introduce Shimony-Wolf fields, entirely classical non-deterministic states, as a basis for…

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

Classical and quantum physics impose different constraints on the joint probability distributions of observed variables in a causal structure. These differences mean that certain correlations can be certified as non-classical, which has…

量子物理 · 物理学 2020-07-22 V. Vilasini , Roger Colbeck

In this paper, we use Bell inequality and nonlocality to study the bipartite correlation in an exactly soluble two-dimensional mixed spin system. Bell inequality turns out to be a valuable detector for phase transitions in this model. It…

量子物理 · 物理学 2013-07-26 Z. Y. Sun , Y. Y. Wu , H. L. Huang , B. Wang

A classical fluid splitter produces the same patterns of energy redistribution as a Stern-Gerlach quantum device, with rotationally invariant coefficients of correlation between molecular paths. Alternative settings express a cosine squared…

综合物理 · 物理学 2026-04-23 Ghenadie N. Mardari

We show that it is possible to find maximal violations of the CHSH-Bell inequality using only position measurements on a pair of entangled non-relativistic free particles. The device settings required in the CHSH inequality are done by…

量子物理 · 物理学 2015-05-14 J. Kiukas , R. F. Werner

Entanglement and violation of Bell inequalities are aspects of quantum nonlocality that have been often confused in the past. It is now known that this equivalence is only true for pure states. Even though almost all the studies of quantum…

量子物理 · 物理学 2012-06-01 L. Justino , Thiago R. de Oliveira

We present generic Bell inequalities for multipartite multi-dimensional systems. The inequalities that any local realistic theories must obey are violated by quantum mechanics for even-dimensional multipartite systems. A large set of…

量子物理 · 物理学 2009-11-11 W. Son , Jinhyoung Lee , M. S. Kim

Quantum mechanics challenges our intuition on the cause-effect relations in nature. Some fundamental concepts, including Reichenbach's common cause principle or the notion of local realism, have to be reconsidered. Traditionally, this is…

量子物理 · 物理学 2020-12-04 Mariami Gachechiladze , Nikolai Miklin , Rafael Chaves

Locality and realism are two main assumptions in deriving Bell's inequalities. Though the experimentally demonstrated violations of Bell's inequalities rule out local realism, it is, however, not clear what role each of the two assumptions…

量子物理 · 物理学 2007-05-23 Zeng-Bing Chen , Sixia Yu , Yong-De Zhang

Bell's inequality sets a strict threshold for how strongly correlated the outcomes of measurements on two or more particles can be, if the outcomes of each measurement are independent of actions undertaken at arbitrarily distant locations.…

量子物理 · 物理学 2022-05-24 David I. Kaiser

Bell's inequality for continuous-variable bipartite systems is studied. The inequality is expressed in terms of pseudo-spin operators and quantum expectation values are calculated for generic two-mode squeezed states characterized by a…

量子物理 · 物理学 2016-08-24 Jerome Martin , Vincent Vennin

Bell's theorem is typically understood as the proof that quantum theory is incompatible with local-hidden-variable models. More generally, we can see the violation of a Bell inequality as witnessing the impossibility of explaining quantum…

Bell inequalities are mathematical constructs that demarcate the boundary between quantum and classical physics. A new class of multiplicative Bell inequalities originating from a volume maximization game (based on products of correlators…

We consider bipartite quantum systems characterized by a continuous angular variable \theta \in [-\pi, \pi[, representing, for instance, the position of a particle on a circle. We show how to reveal non-locality on this type of system using…

量子物理 · 物理学 2012-11-26 Carolina V. S. Borges , Perola Milman , Arne Keller