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We show that arbitrary functions of continuous variables, e.g. position and momentum, can be used to generate tests that distinguish quantum theory from local hidden variable theories. By optimising these functions, we obtain more robust…

量子物理 · 物理学 2009-11-16 Q. Y. He , E. G. Cavalcanti , M. D. Reid , P. D. Drummond

The quantum teleportation process is composed of a joint measurement performed upon two subsystems A and B (uncorrelated), followed by a unitary transformation (parameters of which depend on the outcome of the measurement) performed upon a…

量子物理 · 物理学 2009-10-31 Marek Zukowski

We derive a Bell inequality based on a generalized quasiprobability function which is parameterized by one non-positive real value. Two types of known Bell inequalities formulated in terms of the Wigner and Q functions are included as…

量子物理 · 物理学 2009-08-06 Seung-Woo Lee , Hyunseok Jeong , Dieter Jaksch

The Bell inequality, and its substantial experimental violation, offers a seminal paradigm for showing that the world is not in fact locally realistic. Here, going beyond the scope of Bell's inequality on physical states, we show that…

量子物理 · 物理学 2020-01-22 Shih-Hsuan Chen , He Lu , Qi-Chao Sun , Qiang Zhang , Yu-Ao Chen , Che-Ming Li

Bipartite quantum entangled systems can exhibit measurement correlations that violate Bell inequalities, revealing the profoundly counter-intuitive nature of the physical universe. These correlations reflect the impossibility of…

量子物理 · 物理学 2015-02-02 B. L. Higgins , M. S. Palsson , G. Y. Xiang , H. M. Wiseman , G. J. Pryde

We propose Bell inequalities for discrete or continuous quantum systems which test the compatibility of quantum physics with an interpretation in terms of deterministic hidden-variable theories. The wave function collapse that occurs in a…

量子物理 · 物理学 2014-03-24 Karl-Peter Marzlin , T. A. Osborn

This paper is aimed to dissociate nonlocality from quantum theory. We demonstrate that the tests on violation of the Bell type inequalities are simply statistical tests of local incompatibility of observables. In fact, these are tests on…

量子物理 · 物理学 2021-01-01 Andrei Khrennikov

Bell's theorem supposedly demonstrates an irreconcilable conflict between quantum mechanics and local, realistic hidden variable theories. Most proofs of Bell's theorem, are based on inequalities. In this paper we present an alternative…

量子物理 · 物理学 2025-03-10 Andrea Aiello

This text is an introduction to an operational outlook on Bell inequalities, which has been very fruitful in the past few years. It has lead to the recognition that Bell tests have their own place in applied quantum technologies, because…

量子物理 · 物理学 2015-06-19 Valerio Scarani

Bell inequalities reveal the fundamentally nonlocal character of quantum mechanics. In this regard, one of the interesting problems is to explore all possible Bell inequalities that demonstrate a gap between local and nonlocal quantum…

量子物理 · 物理学 2026-02-10 Palash Pandya , Shubhayan Sarkar , Remigiusz Augusiak

We prove a version of Bell's Theorem in which the Locality assumption is weakened. We start by assuming theoretical quantum mechanics and weak forms of relativistic causality and of realism (essentially the fact that observable values are…

量子物理 · 物理学 2020-11-05 Alejandro Cabrera , Edson de Faria , Enrique Pujals , Charles Tresser

Bell's 1964 theorem, which states that the predictions of quantum theory cannot be accounted for by any local theory, represents one of the most profound developments in the foundations of physics. In the last two decades, Bell's theorem…

Quantum theory is inconsistent with any local hidden variable model as was first shown by Bell. To test Bell inequalities two separated observers extract correlations from a common ensemble of identical systems. Since quantum theory does…

量子物理 · 物理学 2011-01-19 Shmuel Marcovitch , Benni Reznik

There are still no interacting models of the Wightman axioms, suggesting that the axioms are too tightly drawn. Here a weakening of linearity for quantum fields is proposed, with the algebra still linear but with the quantum fields no…

量子物理 · 物理学 2007-05-23 Peter Morgan

We will show for undergraduate and graduate students of physics that Quantum Mechanics is an incomplete and non-local theory. The problem of non-locality is discussed by analyzing the Bell's theorem where are considered correlations between…

综合物理 · 物理学 2011-03-03 M. Cattani

Efforts to construct deeper, realistic, level of physical description, in which individual systems have, like in classical physics, preexisting properties revealed by measurements are known as hidden-variable programs. Demonstrations that a…

量子物理 · 物理学 2009-09-15 Caslav Brukner , Marek Zukowski

Bell's theorem proves that quantum theory is inconsistent with local physical models. It has propelled research in the foundations of quantum theory and quantum information science. As a fundamental feature of quantum theory, it impacts…

量子物理 · 物理学 2022-04-06 Armin Tavakoli , Alejandro Pozas-Kerstjens , Ming-Xing Luo , Marc-Olivier Renou

We explore the mechanism of quantum teleportation by analyzing the weak measurement statistics post-selected by the result of the Bell measurement for the joint system composed of the input A and the spatially separated output B. It is…

量子物理 · 物理学 2013-06-03 Masanori Hiroishi , Holger F. Hofmann

In the first part of this thesis Bell's theorem is revisited. It points at a difference between the quantum and the classical world. This difference is often behind the advantages of solutions using quantum mechanics. New and more general…

量子物理 · 物理学 2007-08-23 Tomasz Paterek

A continuous-variable Bell inequality, valid for an arbitrary number of observers measuring observables with an arbitrary number of outcomes, was recently introduced in [Cavalcanti \emph{et al.}, Phys. Rev. Lett. {\bf 99}, 210405 (2007)].…

量子物理 · 物理学 2008-07-25 Alejo Salles , Daniel Cavalcanti , Antonio Acín
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