2011/05/31 by Andrei Khrennikov
Computer Science · Mathematics · Physics and Astronomy · #Coincidence #Detector #Distributed Sensor Networks and Detection Algorithms #Duality (order theory) #Field (mathematics) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum field theory #Scheme (mathematics) #Type (biology) #Weak measurement #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1080/09500340.2012.656718
published as JOURNAL OF MODERN OPTICS, 59, N 7, 667-678 (2012) · The problem of double clicks is resolved; hence, one can proceed in purely wave framework, i.e., the wave-partcile duality has been resolved in favor of the wave picture of prequantum reality
arxiv created 2011/07/20 · openalex publication_date 2012/02/03 · openalex created_date 2016/06/24 · arxiv updated 2016/06/29 · openalex updated_date 2026/08/05
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.