  A beautiful idea about the incompatibility of Physical Context(IPC) was
introduced in Phys. Rev. A 102, 050201(R) (2020). Here, a context is defined as
a set of a quantum state and two sharp rank-one measurements, and the
incompatibility of physical context is defined as the leakage of information
while implementing those two measurements successively in that quantum state.
In this work, we show the limitations in their approach. The three primary
limitations are that, (i) their approach is not positive operator-valued
measurements and (ii), they restrict information-theoretic agents Alice, Eve
and Bob to specific quantum operations and do not consider most general quantum
operations i.e., quantum instruments and (iii), their measure of IPC can take
negative values in specific cases in a more general scenario which implies the
limitation of their information measure. Thereby, we have introduced a
generalization and modification to their approach in more general and
convenient way, such that this idea is well-defined for generic measurements,
without these limitations. We also present a comparison of the measure of the
IPC through their and our method. Lastly, we show, how the IPC reduces in the
presence of memory using our modification, which further validates our
approach.
