Scholz: Operationally-Motivated Uncertainty Relations for Joint Measurability and the Error-Disturbance Tradeoff
Volkher Scholz, Institute for Theoretical Physics ETH Zurich
We derive new Heisenberg-type uncertainty relations for both joint measurability and the error- disturbance tradeoff for arbitrary observables of finite-dimensional systems. The relations are formulated in terms of a directly operational quantity, namely the probability of distinguishing the actual operation of a device from its hypothetical ideal, by any possible testing procedure whatsoever.