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We put bounds on the minimum detection efficiency necessary to violate local realism in Bell experiments. These bounds depends of simple parameters like the number of measurement settings or the dimensionality of the entangled quantum…

Quantum Physics · Physics 2007-10-22 Serge Massar , Stefano Pironio

Entanglement allows for the nonlocality of quantum theory, which is the resource behind device-independent quantum information protocols. However, not all entangled quantum states display nonlocality, and a central question is to determine…

Quantum Physics · Physics 2016-11-09 Daniel Cavalcanti , Leonardo Guerini , Rafael Rabelo , Paul Skrzypczyk

We introduce a fresh scheme based on the local hidden variable models to quantify nonlocality for arbitrarily high-dimensional quantum systems. Our scheme explores the minimal amount of white noise that must be added to the system in order…

Quantum Physics · Physics 2009-11-09 Dong-Ling Deng , Jing-Ling Chen , Zi-Sui Zhou

Motivated by Popescu's example of hidden nonlocality, we elaborate on the conjecture that quantum states that are intuitively nonlocal, i.e., entangled, do not admit a local causal hidden variables model. We exhibit quantum states which…

Quantum Physics · Physics 2009-10-30 Stefan Teufel , Karin Berndl , Detlef Dürr , Sheldon Goldstein , Nino Zangh\`ı

Local realism is in conflict with special quantum Bell-type models. Recently, several experiments have demonstrated violation of local realism if we trust their setup assuming special relativity valid. In this paper we question the…

Quantum Physics · Physics 2017-11-23 Adam Bednorz

In the present paper it is demonstrated that the quantum correlation (2-dim unitary parameter vectors) can be arbitrarily close approximated with a local hidden variables model. Moreover, the CHSH inequality can be violated with the present…

General Physics · Physics 2008-11-28 J. F. Geurdes

In this brief paper, we complete the analysis presented previously in [RMF 64 (2018) 662-670, arXiv:1803.02426] regarding the quantifiers of the classical correlations and the so-called local available quantum correlations for Bell Diagonal…

Quantum Physics · Physics 2023-11-29 David M. Bellorin R. , Hermann L. Albrecht Q

In a recent article Giustina et al. [Phys. Rev. Lett. 115, 250401 (2015)] report on an advanced Bell experiment, simultaneously closing loopholes for local hidden-variable theories. The authors claim that 'local realism' has been refuted,…

Quantum Physics · Physics 2016-02-08 Louis Vervoort

This Master's thesis has two central subjects: the simulation of correlations generated by local measurements on entangled quantum states by local hidden-variables models and the revelation of hidden nonlocality. We present and detail the…

Quantum Physics · Physics 2014-07-23 Leonardo Guerini

We discuss models that attempt to provide an explanation for the violation of Bell inequalities at a distance in terms of hidden influences. These models reproduce the quantum correlations in most situations, but are restricted to produce…

Quantum Physics · Physics 2014-10-20 Valerio Scarani , Jean-Daniel Bancal , Antoine Suarez , Nicolas Gisin

Local hidden-variable model of singlet-state correlations discussed in M. Czachor, Arithmetic loophole in Bell's Theorem: Overlooked threat to entangled-state quantum cryptography, Acta Phys. Polon. A 139, 70-83 (2021), is shown to be a…

Quantum Physics · Physics 2024-05-27 Marek Czachor , Kamil Nalikowski

Colbeck and Renner [arXiv:0801.2218] analyzed a class of combined models for entanglements in which local and non-local hidden variables cooperate for producing the measurement results. They came to the conclusion that the measurement…

Quantum Physics · Physics 2009-07-15 Sofia Wechsler

According to the Bell theorem, local hidden variable theories cannot reproduce all the predictions of quantum mechanics. An important consequence is that under physically reasonable assumptions quantum mechanics predicts correlations that…

Quantum Physics · Physics 2008-04-07 Frederick H. Willeboordse

Recent experiments have reached detection efficiencies sufficient to close the detection loophole with photons. Both experiments ran multiple successive trials in fixed measurement configurations, rather than randomly re-setting the…

Quantum Physics · Physics 2015-05-21 Peter Bierhorst

The demonstration and use of nonlocality, as defined by Bell's theorem, rely strongly on dealing with non-detection events due to losses and detectors' inefficiencies. Otherwise, the so-called detection loophole could be exploited. The only…

I report on the discovery of quantum compatible local variables that are shared between subsystems of quantum-conventionally entangled physical systems such that they determine the correlations of spatially separated systems while…

Quantum Physics · Physics 2011-02-08 C. S. Unnikrishnan

We introduce local conditional hypotheses that express how the relation between explanatory variables and outcomes changes across different contexts, described by covariates. By expanding upon the model-X knockoff filter, we show how to…

Methodology · Statistics 2026-01-12 Paula Gablenz , Matteo Sesia , Tianshu Sun , Chiara Sabatti

Bell's seminal work showed that no local hidden variable (LHV) model can fully reproduce the quantum correlations of a two-qubit singlet state. His argument and later developments by Clauser et al. effectively rely on gaps between the…

Quantum Physics · Physics 2026-05-07 David Llamas , Dmitry Chistikov , Adrian Kent , Mike Paterson , Olga Goulko

In this letter we discuss entanglement properties of neutral kaons systems and their use for testing local realism. In particular we show that, as previous proposals, also a scheme recently suggested for performing a test of hidden variable…

Quantum Physics · Physics 2014-11-18 M. Genovese

We criticize Colbeck and Renner's (CR's) statement that "any hidden variable model can only be compatible with quantum mechanics if its local part is trivial" [Phys. Rev. Lett. 101, 050403 (2008)]. We note that CR's attempt to divide a…

Quantum Physics · Physics 2022-03-16 Jan-Åke Larsson , Adan Cabello