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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

A simple classical, deterministic, local situation violating the Bell inequality is described. The detectors used in the experiment are ideal and the observers who decide which pair of measuring devices to choose for a given pair of…

量子物理 · 物理学 2009-09-25 Marek Czachor

Contrary to what Lambare [arXiv:2008.00369] assumes, in non-Newtonian calculus (a calculus based on non-Diophantine arithmetic) an integral is typically given by a nonlinear map. This is the technical reason why all the standard proofs of…

量子物理 · 物理学 2020-08-28 Marek Czachor

In a remarkably insightful pair of papers recently, Sica demonstrated that: dichotomic data taken in any experiment that violates Bell's inequalities ``cannot represent any data streams that could possibly exist or be imagined'' if it is to…

量子物理 · 物理学 2007-05-23 A. F. Kracklauer

Ilya Schmelzer wrote recently: {\it Nieuwenhuizen argued that there exists some "contextuality loophole" in Bell's theorem. This claim in unjustified}. It is made clear that this arose from attaching a meaning to the title and the content…

量子物理 · 物理学 2017-09-28 Theodorus M. Nieuwenhuizen , Marian Kupczynski

The inequalities proposed in [Phys. Rev. Lett. 105, 170404 (2010)] are not Bell's inequalities in the usual sense: there are local classical models that violate these inequalities. Thus, their violation demonstrates nonlocality only under…

量子物理 · 物理学 2011-05-24 D. Cavalcanti , V. Scarani

Czachor's model of hierarchical arithmetics begins with a valid formal premise but fixes the key probability mapping g by importing the Born rule and Fubini-Study metric from standard quantum mechanics, where Born probabilities are…

量子物理 · 物理学 2025-10-30 Krzysztof Sienicki , Mikołaj Sienicki

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

In a recent article [Phys. Rev. A 111, 022204 (2025)], Genovese and Piacentini analyzed recent experiments measuring what they call "the entire Bell-CHSH parameter". They claimed those experiments may have implications for interpreting…

量子物理 · 物理学 2025-12-09 Justo Pastor Lambare

Recently K. Banaszek, I. A. Walmsley, K. Wodkiewicz (quant-ph/0012097) commented on our Proposal for the Measurement of Bell-Type Correlations from Continuous Variables [T. C. Ralph, W. J. Munro, R. E. S. Polkinghorne, Phys. Rev. Lett. 85,…

量子物理 · 物理学 2007-05-23 T. C. Ralph , W. J. Munro

According to recent reports, the last loopholes in testing Bell's inequality are closed. It is argued that the really important task in this field has not been tackled yet and that the leading experiments claiming to close locality and…

量子物理 · 物理学 2007-05-23 L. Vaidman

For almost three decades in the twentieth century, the physics community believed that John von Neumann had proved the impossibility of completing quantum mechanics by a local realist, hidden-variables theory. Although Grete Hermann had…

量子物理 · 物理学 2024-03-07 F. De Zela

There are several versions of Bell's inequalities, proved in different contexts, using different sets of assumptions. The discussions of their experimental violation often disregard some required assumptions and use loose formulations of…

量子物理 · 物理学 2009-11-07 Angel G. Valdenebro

Based on a geometrical argument introduced by Zukowski, a new multisetting Bell inequality is derived, for the scenario in which many parties make measurements on two-level systems. This generalizes and unifies some previous results.…

量子物理 · 物理学 2009-11-13 Koji Nagata , Wieslaw Laskowski , Tomasz Paterek

We derive two classes of multi-mode Bell inequalities under local realistic assumptions, which are violated only by the entangled states negative under partial transposition in accordance with the Peres conjecture. Remarkably, the failure…

量子物理 · 物理学 2010-11-02 Se-Wan Ji , Jaewan Kim , Hai-Woong Lee , M. S. Zubairy , Hyunchul Nha

A recent experiment yielding results in agreement with quantum theory and violating Bell inequalities was interpreted [Nature 526 (29 Octobert 2015) p. 682 and p. 649] as ruling out any local realistic theory of nature. But quantum theory…

量子物理 · 物理学 2015-12-07 Robert B. Griffiths

The violation of a Bell inequality is an experimental observation that forces one to abandon a local realistic worldview, namely, one in which physical properties are (probabilistically) defined prior to and independent of measurement and…

Bell inequalities are intended to show that local realist theories cannot describe the world. A local realist theory is one where physical properties are defined prior to and independent of measurement, and no physical influence can…

量子物理 · 物理学 2014-12-01 Jan-Åke Larsson

This paper analyzes effects of time-dependence in the Bell inequality. A generalized inequality is derived for the case when coincidence and non-coincidence [and hence whether or not a pair contributes to the actual data] is controlled by…

量子物理 · 物理学 2022-03-16 Jan-Åke Larsson , Richard Gill

Bell inequalities represent a milestone for contemporary Physics, both for quantum foundations investigation and technological applications (e.g., quantum communication and entanglement certification). Although loophole-free tests have been…

量子物理 · 物理学 2025-02-06 Marco Genovese , Fabrizio Piacentini
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