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Born's rule from measurements of classical signals by threshold detectors which are properly calibrated
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (mathematgics)ORCID iD: 0000-0002-9857-0938
2012 (English)In: Journal of Modern Optics, ISSN 0950-0340, E-ISSN 1362-3044, Vol. 59, no 7, p. 667-678Article in journal (Refereed) Published
Abstract [en]

The very old problem of the statistical content of quantum mechanics (QM) is studied in a novel framework. The Born's rule (one of the basic postulates of QM) is derived from theory of classical random signals. We present a measurement scheme which transforms continuous signals into discrete clicks and reproduces the Born's rule. This is the scheme of threshold type detection. Calibration of detectors plays a crucial role. Creation of such a detection model provides a possibility to represent the basic quantum phenomena as classical field phenomena completed by measurements with threshold type and properly calibrated detectors. Finally, the wave-particle duality has been resolved in favor of the purely wave description. It is well known that coincidence probability plays an important role in the debate on the possibility to reduce quantum theory (especially quantum optics) to classical field theory. Our model matches well the predictions of quantum theory and experiment. It violates the prediction of the classical field model which does not take into account the presence of threshold type detectors with proper calibration.

Place, publisher, year, edition, pages
2012. Vol. 59, no 7, p. 667-678
Keywords [en]
classical random signals, quantum probability, threshold type detectors, calibration, wave-particle duality, quantum optics (inc. quantum information)
National Category
Physical Sciences Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-19049DOI: 10.1080/09500340.2012.656718ISI: 000301434600011Scopus ID: 2-s2.0-84859170936OAI: oai:DiVA.org:lnu-19049DiVA, id: diva2:529308
Available from: 2012-05-29 Created: 2012-05-29 Last updated: 2017-12-07Bibliographically approved

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Khrennikov, Andrei

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CiteExportLink to record
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  • de-DE
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