Bell inequalities for random fields

Morgan, Peter

doi:10.1088/0305-4470/39/23/018

Cited by 24 publications

(28 citation statements)

References 21 publications

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“…It is not uncommon to find in the recent literature, statements that it is impossible to simulate quantum phenomena by classical processes. Such statements are thought to be a direct consequence of Bell's theorem 34 but are in conflict with other work that has pointed out the irrelevance of Bell's theorem 35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57 . A survey of the literature suggests that, roughly speaking, physicists can be classified as those who believe in the reasonableness of Bell's arguments, those who advance logical and mathematical arguments to show that a violation of Bell's (and related) inequalities does not support the far-reaching conclusions of the former group of physicists and those who do not care about Bell's theorem at all.…”

Section: B Irrelevance Of Bell's Theoremmentioning

confidence: 76%

Event-by-Event Simulation of a Quantum Eraser Experiment

Jin¹,

Zhao²,

Yuan³

et al. 2010

Jnl of Comp & Theo Nano

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We present a computer simulation model that is a one-to-one copy of a quantum eraser experiment with photons (P. D. D. Schwindt et al., Phys. Rev. A 60, 4285 (1999)). The model is solely based on experimental facts, satisfies Einstein's criterion of local causality and does not require knowledge of the solution of a wave equation. Nevertheless, the simulation model reproduces the averages as obtained from the wave mechanical description of the quantum eraser experiment, proving that it is possible to give a particle-only description of quantum eraser experiments with photons. We demonstrate that although the visibility can be used as a measure for the interference, it cannot be used to quantify the wave character of a photon. The classical particle-like simulation model renders the concept of wave-particle duality, used to explain the outcome of the quantum eraser experiment with photons, superfluous.

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Section: B Irrelevance Of Bell's Theoremmentioning

confidence: 76%

Event-by-Event Simulation of a Quantum Eraser Experiment

Jin¹,

Zhao²,

Yuan³

et al. 2010

Jnl of Comp & Theo Nano

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“…Many aspects of all of this have been discussed in the literature by de la Peña et al 6 , Fine [7][8][9][10][11] , Pitowsky 12 , Hess and Philipp 13,14 , Khrennikov [15][16][17][18] , and many other authors [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33] . The number of papers indicating dissent with Bell and his followers represents a rousing chorus and is still increasing.…”

Section: Introductionmentioning

confidence: 99%

Extended Boole-Bell Inequalities Applicable to Quantum Theory

Raedt¹,

Hess²,

Michielsen³

2011

Jnl of Comp & Theo Nano

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We address the basic meaning of apparent contradictions of quantum theory and probability frameworks as expressed by Bell's inequalities. We show that these contradictions have their origin in the incomplete considerations of the premises of the derivation of the inequalities. A careful consideration of past work, including that of Boole and Vorob'ev, has lead us to the formulation of extended Boole-Bell inequalities that are binding for both classical and quantum models. The Einstein-Podolsky-Rosen-Bohm gedanken experiment and a macroscopic quantum coherence experiment proposed by Leggett and Garg are both shown to obey the extended Boole-Bell inequalities. These examples as well as additional discussions also provide reasons for apparent violations of these inequalities.

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“…Note that it is only because [2] shows that random fields do not satisfy assumptions that would allow us to derive Bell inequalities that it is possible to argue in these vague terms for such a model. This model for localized and non-localized particles is certainly vague, but it is not much more vague than descriptions of measurement that ignore the engineering of discrete event devices and claims that the standard model describes localized matter through confinement.…”

Section: Discrete Measurementsmentioning

confidence: 99%

Models of Measurement for Quantum Fields and for Classical Continuous Random Fields

Morgan

2007

AIP Conference Proceedings

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A quantum field model for an experiment describes thermal fluctuations explicitly and quantum fluctuations implicitly, whereas a comparable continuous random field model would describe both thermal and quantum fluctuations explicitly. An ideal classical measurement does not affect the results of later measurements, in contrast to ideal quantum measurements, but we can describe the consequences of the thermal and quantum fluctuations of classically non-ideal measurement apparatuses explicitly. Some details of continuous random fields and of Bell inequalities for random fields will be discussed.

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Bell inequalities for random fields

Cited by 24 publications

References 21 publications

Event-by-Event Simulation of a Quantum Eraser Experiment

Event-by-Event Simulation of a Quantum Eraser Experiment

Extended Boole-Bell Inequalities Applicable to Quantum Theory

Models of Measurement for Quantum Fields and for Classical Continuous Random Fields

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