  Wave-particle duality is certainly one of the most curious concepts of
contemporary physics, which ascribes mutually exclusive behaviors to quantum
systems that cannot be observed simultaneously. In the context of two-path
interferometers, these two behaviors are usually described in terms of the
visibility of interference fringes and the path distinguishability. Here, we
use quantum information-theoretic tools to derive quantifiers of these two
properties, which account for the combined influence of path probability and
polarization, and demonstrate that they satisfy a complementarity relation. We
further show that the derived quantities can work as probes in the study of
open quantum dynamics by revealing interesting facets of environment actions,
such as: decoherence, depolarization and scattering.
