Incompatibility in quantum parameter estimation

In this paper we introduce a measure of genuine quantum incompatibility in the estimation task multiple parameters, that has geometric character and is backed by clear operational interpretation. This then applied to some simple systems order track effect local depolarizing noise on task. A semidefinite program described used numerically compute figure merit when analytical tools are not sufficient, among these include an upper bound computable from symmetric logarithmic derivatives only. Finally discuss how obtain compatible models for general unitary encoding finite dimensional probe.