Derivation of the quantum probability law from minimal non-demolition measurement
F Herbut · Journal of Physics A Mathematical and Theoretical · 2007
One more derivation of the quantum probability rule is presented in order to shed more light on the versatile aspects of this fundamental law. It is shown that the change of state in minimal quantum non-demolition measurement, also known as ideal measurement, implies the probability law in a simple way. Namely, the very requirement of minimal change of state, put in proper mathematical form, gives the well-known Lüders formula, which contains the probability rule.