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We present an elementary proof of the irrationality of $\zeta(5)$ based upon the Dirichlet's approximation theorem and the Prime Number Theorem.

经典分析与常微分方程 · 数学 2011-05-11 Yong-Cheol Kim

Alice and Bob each have half of a pair of entangled qubits. Bob measures his half and then passes his qubit to a second Bob who measures again and so on. The goal is to maximize the number of Bobs that can have an expected violation of the…

量子物理 · 物理学 2020-09-02 Peter J. Brown , Roger Colbeck

The claim that the observation of a violation of a Bell inequality leads to an alleged alternative between nonlocality and non-realism is annoying because of the vagueness of the second term.

量子物理 · 物理学 2015-05-13 Nicolas Gisin

We give a set of necessary conditions for locality in bipartite systems, which include and generalize known Bell's inequalities. Each condition corresponds to a specific order of the expansion of random variables defined on graphs, in terms…

Kupczynski (2023) claims that Gill and Lambare (2022a, 2022b) misrepresent several of his published papers. This paper shows that the latest version of his "contextuality by default" model of a Bell experiment places no constraints…

量子物理 · 物理学 2023-05-05 Richard D. Gill

We introduce two types of statistical quasi-separation between local observables to construct two-party Bell-type inequalities for an arbitrary dimensional systems and arbitrary number of measurement settings per site. Note that, the main…

量子物理 · 物理学 2021-01-01 Arijit Dutta , Jaewan Kim , Jinhyoung Lee

This is a comment on the article "Probabilistic Integration: A Role in Statistical Computation?" by F.-X. Briol, C. J. Oates, M. Girolami, M. A. Osborne and D. Sejdinovic to appear in Statistical Science. There is a role for statistical…

统计计算 · 统计学 2019-01-23 Art B. Owen

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

We study a supergauge transformation of a complex superfield which generates a chiral superfield in two-dimensional ${\cal N}=(2,2)$ theory. This complex superfield is referred to as the prepotential of the chiral superfield. Since there…

高能物理 - 理论 · 物理学 2016-02-23 Tetsuji Kimura

The Bell theorem is explored in terms of a trade-off relation between underlying assumptions within the hidden variable model framework. In this paper, recognizing the incorporation of hidden variables as one of the fundamental assumptions,…

量子物理 · 物理学 2025-03-19 Ryo Takakura , Kei Morisue , Issei Watanabe , Gen Kimura

In the first half of this two-part article, we analyzed a cognitive psychology experiment where participants were asked to select pairs of directions that they considered to be the best example of 'Two Different Wind Directions', and showed…

The violation of a Bell inequality is a striking demonstration of how quantum mechanics contradicts local realism. Although the original argument was presented with a pair of spin 1/2 particles, so far Bell inequalities have been shown to…

量子物理 · 物理学 2019-10-30 D. K. Shin , B. M. Henson , S. S. Hodgman , T. Wasak , J. Chwedenczuk , A. G. Truscott

On one side, so far a great part of the evidence accepted as proof of the alleged quantum non-locality relied on inhomogeneous Bell inequalities involving an additional assumption (no-enhancement) whose role had not been sufficiently…

数学物理 · 物理学 2015-03-19 David Rodríguez

Bell's theorem admits several interpretations or 'solutions', the standard interpretation being 'indeterminism', a next one 'nonlocality'. In this article two further solutions are investigated, termed here 'superdeterminism' and…

量子物理 · 物理学 2015-06-04 Louis Vervoort

We respond to Tetlock et al. (2022) showing 1) how expert judgment fails to reflect tail risk, 2) the lack of compatibility between forecasting tournaments and tail risk assessment methods (such as extreme value theory). More importantly,…

风险管理 · 定量金融 2023-01-27 Nassim Nicholas Taleb , Ron Richman , Marcos Carreira , James Sharpe

A common problem in Bell type experiments is the well-known detection loophole: if the detection efficiencies are not perfect and if one simply post-selects the conclusive events, one might observe a violation of a Bell inequality, even…

量子物理 · 物理学 2011-04-04 Cyril Branciard

Bell's theorem of 1965 is a proof that all realistic interpretations of quantum mechanics must be non-local. Bell's theorem consists of two parts: first a correlation inequality is derived that must be satisfied by all local realistic…

量子物理 · 物理学 2007-05-23 M. Ardehali

We discuss the relations between the violation of the CHSH Bell inequality for systems of two qubits on the one side and entanglement of formation, local filtering operations, and the entropy and purity on the other. We calculate the…

量子物理 · 物理学 2009-11-07 Frank Verstraete , Michael M. Wolf

Bell conditions for local realism are critically revisited. In particular for optical experiments I criticize Bell's proposed response of detectors to signals as extremely idealized. More physical conditions are proposed, whence a realistic…

量子物理 · 物理学 2026-02-02 Emilio Santos

This short article concentrates on the conceptual aspects of the violation of Bell inequalities, and acts as a map to the 265 cited references. The article outlines (a) relevant characteristics of quantum mechanics, such as statistical…

量子物理 · 物理学 2021-06-29 Brian Drummond
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