On conditional bell inequalities and quantum mechanics

Baere, W. De

doi:10.1007/bf02748428

Cited by 18 publications

(14 citation statements)

References 8 publications

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“…Otherwise stated, such a program violates QM already from the start, not because of a violation of locality, but because of the assumed unrestricted validity of CFD for single quantum events. QM and locality are valid because the data satisfy Cirel'son's relation (4).…”

Section: Irrelevance Of Nonlocality In the Conflict Between Qm And CLmentioning

confidence: 98%

“…Bell's theorem), we continue our past approach (3,4,(15)(16)(17) and argue that the origin of the conflict between QM and classicalmechanics (CM)-like schemes is the assumed general validity of the idea of CFD, applied to the domain of individual quantum processes. At first sight this conclusion coincides with the critical remarks by Mermin and Unruh (who warn to be careful with the use of CFD), and with those by Shimony and Stein (in terms of "possible worlds").…”

Section: Introductionmentioning

confidence: 97%

“…In spite of the existence of very reasonable argumentsboth theoretical and empirical-which retain the validity of the relativistic locality principle, (3)(4)(5)(6)(7) and which remove any quantum inconsistency or "paradox", some people continue to propose arguments in favour of nonlocality (for a survey of the recent literature, see e.g. Ref.…”

Section: Introductionmentioning

confidence: 97%

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On the Consequences of Retaining the General Validity of Locality in Physical Theory

Baere

2005

Found Phys

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The empirical validity of the locality (LOC) principle of relativity is used to argue in favour of a local hidden variable theory (HVT) for individual quantum processes. It is shown that such a HVT may reproduce the statistical predictions of quantum mechanics (QM), provided the reproducibility of initial hidden variable states is limited. This means that in a HVT limits should be set to the validity of the notion of counterfactual definiteness (CFD). This is supported by the empirical evidence that past, present, and future are basically distinct.Our argumentation is contrasted with a recent one by Stapp resulting in the opposite conclusion, i.e. nonlocality or the existence of faster-than-light influences. We argue that Stapp's argumentation still depends in an implicit, but crucial, way on both the notions of hidden variables and of CFD. In addition, some implications of our results for the debate between Bohr and Einstein, Podolsky and Rosen are discussed.

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Section: Irrelevance Of Nonlocality In the Conflict Between Qm And CLmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 97%

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On the Consequences of Retaining the General Validity of Locality in Physical Theory

Baere

2005

Found Phys

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“…Aerts [6,30] inspired by Accardi's paper [1] showed that BI can also be violated in macroscopic experiments. De Baere [46,47] pointed out that BI might be violated due to the non-reproducibility of a set of hidden variables.…”

Section: Bell Inequalitiesmentioning

confidence: 99%

“…[20][21][22][23][24][25][26][27][46][47][48][49][50]. Several local models [2,3,28,29,41] were able to reproduce QT predictions.…”

Section: Introductionmentioning

confidence: 99%

EPR Paradox, Locality and Completeness of Quantum Theory

Kupczyński¹

2007

AIP Conference Proceedings

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only with a specific protocol telling how the random experiment has to be performed. The probabilistic model used to prove BI implied a protocol completely inappropriate and impossible to implement for SPCE . Therefore we conclude that the important question whether QT is predictably complete is still open and we show how the unconventional analysis of the existing data could help to answer it. The correct understanding of statistical and contextual character of QT is essential for the research in the domain of quantum information and quantum computing.

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On the Significance of the Bell Inequalities for the Locality Problem in Different Realistic Interpretations of Quantum Mechanics

Muynck

Stekelenborg

1988

Annalen der Physik

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The relation between the Bell inequalities, locality and the existence of joint probability distributions is discussed in different realist interpretations of quantum mechanics. We distinguish four realist interpretations, viz., the objectivistic one, the contextualistic one, the strictly nonobjectivistic and the quasi-objectivistic interpretation. Conclusions are differing largely in different interpretations. We also distinguish between two kinds of locality, viz., macrolocality and Einstein/ Bell locality. From a classical model of stochastic measuring processes a definition of Einstein/Bell locality is derived that differs from the Bell/Clauser/Horne/Shimony factorizability condition. It is demonstrated that only in the quasi-objectivistic interpretation the EinsteintBell locality condition plays a role in the derivation of a Bell inequality for quantities that are experimentally relevant.It is argued that even in this interpretation it is not possible to arrive a t the conclusions that the Bell inequalities stem from the locality condition because of the tacit assumption of an additional property, namely the existence of probability distributions conditionalized on the dispersionfree states of the hidden variables. Consideration of a phase space representation of the Schrodinger equation demonstrates that this latter assumption is a t odds with the statistics of quantum systems. Uber die Bedeutung der Bellschen Ungleichheiten fiir das Lokalitiitsproblem in unterschiedlichen realistischen Interpretationen der QuantenmechanikI n h a l tsdbersicht. Die Beziehung zwischen den Bellschen Ungleichheiten, der Lokalitlt und der Existenz von gemeinsamen Wahrscheinlichkeitsverteilungen, wird in unterschiedlichen realistischen Interpretationen der Quantenmechanik diskutiert. Wir unterscheiden vier realistische Interpretationen: die objektivistisohe, die kontextualistische, die enger gefaIJte nonobjektivistische und die quasi-objektivistische Interpretation. Die SchluIJfolgerungen sind in unterschiedlichen Interpretationen sehr verschieden. Wir machen auch einen Unterschied zwischen zwei Arten der Lokalitat, namlich Makrolokalitat und Einstein/Bell-Lokalitat. Ausgehend von einem klassischen Modell stochastischer MeSprozesse wird eine Definition der Einstein-Bell-Lokalitat hergeleitet, die ungleich der Bell/Clauser/Horne/Shimonyschen Faktorisierungsbedingung ist. Es wird gezeigt, daS nur in der quasi-objektivistischen Interpretation die Einstein/Bell Lokalitatsbedingung eine Rolle beim Herleiten einer Bellschen Ungleichheit fur solche GroBen, die experimentelle Relevanz haben, spielt. Es wird argumentiert, daB es auch in dieser Interpretation, wegen einer stillschweigenden Annahme einer zusatzlichen Eigenschaft, namlich die Existenz einer Wahrscheinlichkeitsverteilung, welche konditioniert ist auf dispersionsfreie Zustlnde der verborgenen Variablen, nicht moglich ist, die SchluBfolgerung zu ziehen, daS die Bellschen Ungleichheiten von der Lokalitatsbedingung abgeleitet werden konnen. Durch die Betrachtung einer Phasenraum...

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On conditional bell inequalities and quantum mechanics

Cited by 18 publications

References 8 publications

On the Consequences of Retaining the General Validity of Locality in Physical Theory

On the Consequences of Retaining the General Validity of Locality in Physical Theory

EPR Paradox, Locality and Completeness of Quantum Theory

On the Significance of the Bell Inequalities for the Locality Problem in Different Realistic Interpretations of Quantum Mechanics

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