  Relying on previous results that link entanglement entropy and parton
distribution functions in deep inelastic scattering and focusing on the small
Bjorken scaling region we present here indications that gluon shadowing might
indeed be explained as due to a depletion of the entanglement entropy between
observed and unobserved degrees of freedom per nucleon within a nucleus with
respect to the free nucleon case. We apply to gluon shadowing the general Page
approach to the calculation of the entanglement entropy in bipartite systems,
giving physical motivations of the results.
