  Pivotal within quantum physics, the concept of quantum incompatibility is
generally related to algebraic aspects of the formalism, such as commutation
relations and unbiasedness of bases. Recently, the concept was identified as a
resource in tasks involving quantum state discrimination and quantum
programmability. Here we link quantum incompatibility with the amount of
information that can be extracted from a system upon successive measurements of
noncommuting observables, a scenario related to communication tasks. This
approach leads us to characterize incompatibility as a resource encoded in a
physical context, which involves both the quantum state and observables.
Moreover, starting with a measure of context incompatibility we derive a
measurement-incompatibility quantifier that is easily computable, admits a
geometrical interpretation, and is maximum only if the eigenbases of the
involved observables are mutually unbiased.
