Born's rule from measurements of classical signals by threshold detectors which are properly calibrated

TL;DR

This paper derives Born's rule from classical random signals using a threshold detection scheme with properly calibrated detectors, bridging classical signal theory and quantum measurement postulates.

Contribution

It introduces a novel measurement framework that reproduces Born's rule from classical signals, emphasizing the importance of detector calibration.

Findings

Threshold detection scheme reproduces Born's rule

Calibration of detectors is crucial for accurate measurement

Classical signals can mimic quantum measurement statistics

Abstract

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 sheme of threshold type detection. Calibration of detectors plays a crucial role.