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We give a simple proof of Bell's inequality in quantum mechanics which, in conjunction with experiments, demonstrates that the local hidden variables assumption is false. The proof sheds light on relationships between the notion of causal…

应用统计 · 统计学 2015-09-17 James M. Robins , Tyler J. VanderWeele , Richard D. Gill

The Bell theorem expresses that quantum mechanics is not a local-realistic theory, which is often interpreted as nonlocality of the nature. This result has led to this belief that nonlocality and entanglement are the same resources.…

量子物理 · 物理学 2020-04-17 Akbar Fahmi

We use an alternative approach to show that quantum entanglement-like correlations cannot be reproduced for any classical protocol. In our proposal, quantum geometric restrictions are impose over the physical system related to the existence…

量子物理 · 物理学 2018-09-12 R. Restrepo-Villegas , E. Agudelo , J. Castrillón , B. A. Rodríguez

Bell's theorem supposedly demonstrates an irreconcilable conflict between quantum mechanics and local, realistic hidden variable theories. In this paper we show that all experiments that aim to prove Bell's theorem do not actually achieve…

量子物理 · 物理学 2025-01-10 Andrea Aiello

Bell nonlocality and Kochen-Specker contextuality are among the main topics of foundations of quantum theory. Both of them are related to stronger-than-classical correlations, with the former usually referring to spatially separated systems…

Bell's theorem is 50 years old. Still there is a controversy about its implications. Much of it has its roots in confusion regarding the premises from which the theorem can be derived. Some claim that a derivation of Bell's inequalities…

量子物理 · 物理学 2015-01-20 Marek Zukowski , Caslav Brukner

It was shown by Bell that no local hidden variable model is compatible with quantum mechanics. If, instead, one permits the hidden variables to be entirely non-local, then any quantum mechanical predictions can be recovered. In this paper,…

量子物理 · 物理学 2008-11-26 Roger Colbeck , Renato Renner

Quantum entanglement and nonlocality are inequivalent notions: There exist entangled states that nevertheless admit local-realistic interpretations. This paper studies a special class of local-hidden-variable theories, in which the linear…

量子物理 · 物理学 2017-11-17 Bin Yan

The machinery of quantum mechanics is fully capable of describing a single realistic world. Here we discuss the converse: in spite of appearances, and indeed numerous claims to the contrary, any quantum mechanical model can be mimicked, up…

量子物理 · 物理学 2021-11-15 Gerard t Hooft

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

Hidden-variable theories effectively solve the measurement problem. However, a serious issue of this route towards a realistic completion of quantum theory is raised by Bell's proof that the resulting theories are nonlocal. A possible…

量子物理 · 物理学 2025-08-26 Alberto Montina , Stefan Wolf

Starting from the late 60's many experiments have been performed to verify the violation Bell's inequality by Einstein-Podolsky-Rosen (EPR) type correlations. The idea of these experiments being that: (i) Bell's inequality is a consequence…

量子物理 · 物理学 2009-09-25 Luigi Accardi , Massimo Regoli

A century after the advent of Quantum Mechanics and General Relativity, both theories enjoy incredible empirical success, constituting the cornerstones of modern physics. Yet, paradoxically, they suffer from deep-rooted, so-far intractable,…

量子物理 · 物理学 2017-03-20 Elizabeth S. Gould , Niayesh Afshordi

Quantum non-locality has become a popular term. Yet, its precise meaning, and even its mere existence, is the subject of controversies. The main cause of the controversies is the never ending discussion on the appropriate definitions of…

量子物理 · 物理学 2024-11-06 Alejandro Hnilo

Nonlocality and contextuality are at the root of conceptual puzzles in quantum mechanics, and are key resources for quantum advantage in information-processing tasks. Bell nonlocality is best understood as the incompatibility between…

量子物理 · 物理学 2019-02-18 Eric G. Cavalcanti

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

Franson showed that Aspect's experiment to test Bell's inequality did not rule out local realistic theories with delayed determinism. A class of local, deterministic discrete mathematical models with delayed determinism is described that…

高能物理 - 理论 · 物理学 2008-02-03 Paul P. Budnik

Classical and quantum physics provide fundamentally different predictions about experiments with separate observers that do not communicate, a phenomenon known as quantum nonlocality. This insight is a key element of our present…

量子物理 · 物理学 2017-02-17 Jonatan Bohr Brask , Rafael Chaves

Recently, Matzkin claimed the construction of a hidden variable (HV) model which is both local and equivalent with the quantum-mechanical predictions. In this paper we will briefly present this HV model and argue, by identifying an extra…

量子物理 · 物理学 2008-07-14 R. N. Nijhoff

Despite claims that Bell's inequalities are based on the Einstein locality condition, or equivalent, all derivations make an identical mathematical assumption: that local hidden-variable theories produce a set of positive-definite…

量子物理 · 物理学 2007-05-23 Tony Rothman , E. C. G. Sudarshan