Speaker
Prof.
Paul Busch
Description
It has been claimed in recent research publications that Heisenberg’s idea of an accuracy-disturbance trade-off in quantum measurements has been theoretically and experimentally falsified. Here we analyze this claim and show that it is based on a combination of two factors: (a) a restricted perspective on measurement uncertainty relations that focuses on state-dependent measures of error and disturbance rather than considering them figures of merit for measuring devices; (b) the use of a generalization of Gauss’ root-mean-square deviation that is based on the problematic concept of noise operator. We present an alternative operationally significant quantum generalization of root-mean- square deviation and using this we obtain a valid formulation of a Heisenberg-type error- disturbance relation for position and momentum.
