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Classical signal model reproducing quantum probabilities for single and coincidence detections
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (mathematgics)ORCID iD: 0000-0002-9857-0938
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (mathematical modeling)
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (physics)ORCID iD: 0000-0002-7018-6248
2012 (English)In: Journal of Physics, Conference Series, ISSN 1742-6588, E-ISSN 1742-6596, Vol. 361, 012030Article in journal (Refereed) Published
Abstract [en]

We present a simple classical (random) signal model reproducing Born's rule. The crucial point of our approach is that the presence of detector's threshold and calibration procedure have to be treated not as simply experimental technicalities, but as the basic counterparts of the theoretical model. We call this approach threshold signal detection model (TSD). The experiment on coincidence detection which was done by Grangier in 1986 [22] played a crucial role in rejection of (semi-)classical field models in favour of quantum mechanics (QM): impossibility to resolve the wave-particle duality in favour of a purely wavemodel. QM predicts that the relative probability of coincidence detection, the coefficient g((2)) (0); is zero (for one photon states), but in (semi-) classicalmodels g((2)) (0) >= 1 : In TSD the coefficient g((2)) (0) decreases as 1/epsilon(2)(d); where epsilon(d) > 0 is the detection threshold. Hence, by increasing this threshold an experimenter can make the coefficient g((2)) (0) essentially less than 1. The TSD-prediction can be tested experimentally in new Grangier type experiments presenting a detailed monitoring of dependence of the coefficient g((2)) (0) on the detection threshold. Structurally our model has some similarity with the prequantum model of Grossing et al. Subquantum stochasticity is composed of the two counterparts: a stationary process in the space of internal degrees of freedom and the random walk type motion describing the temporal dynamics.

Place, publisher, year, edition, pages
2012. Vol. 361, 012030
Keyword [en]
signals, detection, quantum
National Category
Probability Theory and Statistics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-42668DOI: 10.1088/1742-6596/361/1/012030OAI: oai:DiVA.org:lnu-42668DiVA: diva2:805886
Conference
Heinz von Foerster Conference on Emergent Quantum Mechanics (EmerQuM)/5th International Heinz von Foerster Conference on Self-Organization-and-Emergence-in-Nature-and-Society, Vienna, 11-13 Nov., 2011
Projects
mathematical modeling
Available from: 2015-04-16 Created: 2015-04-16 Last updated: 2017-01-10Bibliographically approved

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Khrennikov, AndreiNilsson, BörjeNordebo, Sven
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