Colloquium: Quantum root-mean-square error and measurement uncertainty relations
Paul Busch, Pekka Lahti, and Reinhard F. Werner
Heisenberg's uncertainty principle is one of the pillars of quantum mechanics. In this Colloquium, issues arising with the use of the noise-operator concept for quantifying measurement errors are analyzed. An alternative way of adapting the classical concept of root-mean-square error to quantum measurements is presented, leading to Heisenberg-type measurement uncertainty relations.
Abstract: Reviews of Modern Physics