A Newtonian separable model which violates Bell’s inequality

Notarrigo, S.

doi:10.1007/bf02721589

Cited by 14 publications

(7 citation statements)

References 17 publications

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“…Notarrigo independently presented a more complex scheme, based on two separate subsystems of M + 2 classical transverse oscillators coupled by linear interactions between nearest neighbors only [10]. The polarizers were represented as constraints of the oscillation to a direction in the transversal plane.…”

Section: Scalera's Model Of Photon Detectionmentioning

confidence: 99%

Time stamping in EPRB experiments: application on the test of non-ergodic theories

et al. 2009

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In Einstein-Podolsky-Rosen-Bohm (EPRB) experiments, the record of the time of detection of each single photon ("time stamping") provides much more information than the usual record of coincidence rates. It is a preferable technique for several reasons, and it can be realized with accessible means nowadays. As an illustration of its capacities, we show that a certain class of non-ergodic (local realistic) models that violates the Bell's inequalities, even in ideally perfect setups, is disproved from the examination of time stamped files. This class of models, which has remained untested until now, exploits the finite size of the time window defining the coincidences, and it cannot be disproved by measuring coincidence rates. We use not only our own experimental data, but also the data obtained in the Innsbruck experiment with random variable analyzers.

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Section: Scalera's Model Of Photon Detectionmentioning

confidence: 99%

Time stamping in EPRB experiments: application on the test of non-ergodic theories

et al. 2009

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“…According to my literature review, Fine deserves the credit for first describing the local coincidence window loophole mechanism [5,6], which he referred to as a 'synchronization' model. Scalera [7] and Notariggo [8] later described similar coincidence window models. Fine's mathematical analysis was augmented by Pascazio [9].…”

Section: Operation Of the Local Model Violating Chmentioning

confidence: 78%

“…A common strategy for resolving this dilemma is to define a pair of detections as coincident when their respective detection times are within a given time interval (the window size) of each other. But this strategy can fail for some window sizes when the detection times are not fully random and instead depend on the measurement settings (this mechanism has come to be known as the 'coincidence loophole') [5,6,7,8,9]. To avoid this mechanism, one must assume or arrange that the detection times do not significantly depend on the settings, possibly through proper experimental design and experimental data analyses showing that the times are indeed not modulated by the settings.…”

Section: Introductionmentioning

confidence: 99%

Clauser-Horne/Eberhard Inequality Violation by a Local Model

Graft¹

2016

Adv Sci Engng Med

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Thanks to its immunity to the detection loophole, the Clauser-Horne/ Eberhard inequality plays an important role in tests of locality and in certification of quantum information protocols based on entanglement. I describe a local model that violates the inequality using a plausible mechanism relying upon a parameter of the apparatus, the source emission rate. The effect is generated through the analysis of time-tagged data using a standard windowed coincidence counting method. Significantly, the detection times here are not functions of the measurement settings, i.e., the 'fair coincidences' assumption is satisfied. This finding has implications for the design and interpretation of experiments and for quantum information protocols, as it shows that the coincidence window mechanism cannot be eliminated by a demonstration of independence of the detection times and settings. The paper describes a reliable coincidence counting method and shows that it delivers an accurate count of true coincidences. Recent experimental tests of local realism based on the Clauser-Horne/Eberhard inequality are considered and it is shown that in one case (Christensen et al.) the emission rate is appropriately limited to ensure valid counting, and the data supports locality; in a second case (Giustina et al.) the experiment neglects to appropriately limit the emission rate, and the claimed violation can be accounted for locally.

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“…The idea that non-ergodicity may be related with the solution of the QM vs. LR controversy is not new [13][14][15]. Yet, it must be warned that the meaning given to "non-ergodicity" in those early approaches was influenced by the proposal of an LR model based on a system of coupled oscillators (thus similar to the best known example of non-ergodicity: the Fermi-Pasta-Ulam system) [16]. This proposal was eventually shown to be reducible to a form of the time-coincidence loophole [17].…”

Section: The Additional Hypothesismentioning

confidence: 99%

Using Measured Values in Bell’s Inequalities Entails at Least One Hypothesis in Addition to Local Realism

Hnilo¹

2017

Entropy

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Abstract:The recent loophole-free experiments have confirmed the violation of Bell's inequalities in nature. Yet, in order to insert measured values in Bell's inequalities, it is unavoidable to make a hypothesis similar to "ergodicity at the hidden variables level". This possibility opens a promising way out from the old controversy between quantum mechanics and local realism. Here, I review the reason why such a hypothesis (actually, it is one of a set of related hypotheses) in addition to local realism is necessary, and present a simple example, related to Bell's inequalities, where the hypothesis is violated. This example shows that the violation of the additional hypothesis is necessary, but not sufficient, to violate Bell's inequalities without violating local realism. The example also provides some clues that may reveal the violation of the additional hypothesis in an experiment.

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A Newtonian separable model which violates Bell’s inequality

Cited by 14 publications

References 17 publications

Time stamping in EPRB experiments: application on the test of non-ergodic theories

Time stamping in EPRB experiments: application on the test of non-ergodic theories

Clauser-Horne/Eberhard Inequality Violation by a Local Model

Using Measured Values in Bell’s Inequalities Entails at Least One Hypothesis in Addition to Local Realism

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