  There are at least a number of ways to formally define complexity. Most of
them relate to some kind of minimal description of the studied object. Being
this one in form of minimal resources of minimal effort needed to generate the
object itself. This is usually achieved by detecting and taking advantage of
regularities within the object. Regularities can commonly be described in an
information-theoretic approach by quantifying the amount of correlation playing
a role in the system, this being spatial, temporal or both. This is the
approach closely related to the extent that the whole cannot be understood as
only the sum of its parts, but also by their interactions. Feature considered
to be most fundamental. Nevertheless, this irreducibility, even in the basic
quantum informational setting of composite states, is also present due to the
intrinsic structure of Hilbert spaces' tensor product. In this approach, this
irreducibility is quantified based on statistics of von Neumann measurements
forming mutually unbiased bases. Upon two different kinds of tripartite qubit
mixed state families, which hold the two possible distinct entangled states on
this space. Results show that this quantification is sensible to the different
kind of entanglement present on those families.
