  Weak values are traditionally obtained using a weak interaction between the
measured system and a pointer state. It has, however, been pointed out that
weak coupling can be replaced by a carefully tailored strong interaction. This
paper provides a direct comparison of two strong interaction-based approaches
(strong interaction accompanied by either a suitably prepared pointer state or
quantum erasure) and the traditional weak interaction-based method. Presented
theoretical derivations explicitly prove analytical equivalence of these
approaches which was subsequently certified by an experiment implemented on the
platform of linear optics. We find that strong-interaction-based measurements
are experimentally less demanding on this platform.
