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We show how one can be led from considerations of quantum steering to Bell's theorem. We begin with Einstein's demonstration that, assuming local realism, quantum states must be in a many-to-one ("incomplete") relationship with the real…

量子物理 · 物理学 2015-05-20 Sania Jevtic , Terry Rudolph

It is shown that the restrictions of what can be inferred from classically-recorded observational outcomes that are imposed by the no-cloning theorem, the Kochen-Specker theorem and Bell's theorem also follow from restrictions on inferences…

量子物理 · 物理学 2013-03-19 Chris Fields

Usually the 'hidden variables' of Bell's theorem are supposed to describe the pair of Bell particles. Here a semantic shift is proposed, namely to attach the hidden variables to a stochastic medium or field in which the particles move. It…

量子物理 · 物理学 2017-01-24 Louis Vervoort

Two new formulations of Bell's theorem are given here. First, we consider a definite set of two entangled photons with only two polarization directions, for which Bell's locality assumption is violated for the case of perfect correlation.…

量子物理 · 物理学 2007-05-23 Afshin Shafiee , Mehdi Golshani

It is generally believed that Bell's inequality holds for the case of entangled states, including two correlated particles or special states of a single particle. Here, we derive a single-particle Bell's inequality for two correlated spin…

量子物理 · 物理学 2007-05-23 A. Shafiee , M. Golshani

It is shown that the Bell inequalities are closely related to the triangle inequalities involving distance functions amongst pairs of random variables with values $\left\{ 0,1\right\} $. A hidden variables model may be defined as a mapping…

量子物理 · 物理学 2016-09-28 Emilio Santos

We extend the generic Bell inequalities suggested by Son, Lee, and Kim [Phys. Rev. Lett. 96, 060406 (2006)] to incorporate multiple observables for tripartite systems and introduce a geometric methodology for calculating classical upper…

量子物理 · 物理学 2025-10-08 Junghee Ryu , Jinhyoung Lee , Hoon Ryu

Marinatto claims that in the proof of Bell's theorem without inequalities and without alignments [A. Cabello, Phys. Rev. Lett. 91, 230403 (2003)], local observables cannot be measured by means of tests on individual qubits. Marinatto's…

量子物理 · 物理学 2009-07-28 Adan Cabello

Bell nonlocality plays a fundamental role in quantum theory. Numerous tests of the Bell inequality have been reported since the ground-breaking discovery of the Bell theorem.Up to now, however, most discussions of the Bell scenario have…

量子物理 · 物理学 2018-11-08 Meng-Jun Hu , Zhi-Yuan Zhou , Xiao-Min Hu , Chuan-Feng Li , Guang-Can Guo , Yong-Sheng Zhang

This article contains a review of Nelson's analysis of Bell's theorem. It shows that Bell's inequalities can be violated with a theory of local random variables if one accepts that the outcomes of these variables are not predetermined prior…

量子物理 · 物理学 2014-09-30 Benjamin Schulz

The aim of this note is to attract attention of experimenters to the original Bell (OB) inequality which was shadowed by the common consideration of the CHSH inequality. There are two reasons to test the OB inequality and not the CHSH…

量子物理 · 物理学 2019-11-26 Andrei Khrennikov , Irina Basieva

We performed an experimental test of the Kochen-Specker theorem based on an inequality derived from the Peres-Mermin proof, using spin-path (momentum) entanglement in a single neutron system. Following the strategy proposed by Cabello et…

量子物理 · 物理学 2009-07-28 H. Bartosik , J. Klepp , C. Schmitzer , S. Sponar , A. Cabello , H. Rauch , Y. Hasegawa

An Einstein-Podolsky-Rosen (EPR)-like argument using events separated by a time-like interval strongly suggestes that measuring the polarization state of a photon of an entangled pair changes the polarization state of the other distant…

量子物理 · 物理学 2007-05-23 Luiz Carlos Ryff

Bell theorems show how to experimentally falsify local realism. Conclusive falsification is highly desirable as it would provide support for the most profoundly counterintuitive feature of quantum theory - nonlocality. Despite the…

量子物理 · 物理学 2012-02-22 Anne Broadbent , Hilary A. Carteret , Andre Allan Methot , Jonathan Walgate

Loophole-free violations of Bell inequalities imply that at least one of the assumptions behind local hidden-variable theories must fail. Here, we show that, if only one fails, then it has to fail completely, therefore excluding models that…

量子物理 · 物理学 2025-05-20 Carlos Vieira , Ravishankar Ramanathan , Adán Cabello

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

We will demonstrate in this paper that Bell's theorem (Bell's inequality) does not really conflict with quantum mechanics, the controversy between them originates from the different definitions for the expectation value using the…

量子物理 · 物理学 2007-05-23 Zheng-Chuan Wang

Bell tests---the experimental demonstration of a Bell inequality violation---are central to understanding the foundations of quantum mechanics, underpin quantum technologies, and are a powerful diagnostic tool for technological developments…

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…

All-versus-nothing (AVN) proofs show the conflict between Einstein, Podolsky, and Rosen's elements of reality and the perfect correlations of some quantum states. Given an n-qubit state distributed between m parties, we provide a method…

量子物理 · 物理学 2010-07-26 Adan Cabello , Pilar Moreno