  A longstanding question in quantum gravity regards the localization of
quantum information; one way to formulate this question is to ask how
subsystems can be defined in quantum-gravitational systems. The gauge symmetry
and necessity of solving the constraints appear to imply that the answers to
this question here are different than in finite quantum systems, or in local
quantum field theory. Specifically, the constraints can be solved by providing
a "gravitational dressing" for the underlying field-theory operators, but this
modifies their locality properties. It has been argued that holography itself
may be explained through this role of the gauge symmetry and constraints, at
the nonperturbative level, but there are also subtleties in constructing a
holographic map in this approach. There are also claims that holography is
implied even by perturbative solution of the constraints. This short note
provides further examination of these questions, and in particular investigates
to what extent perturbative or nonperturbative solution of the constraints
implies that information naively thought to be localized can be recovered by
asymptotic measurements, and the relevance of this in defining subsystems. In
the leading perturbative case, the relevant effects are seen to be
exponentially suppressed. These questions are, for example, important in
sharply characterizing the unitarity problem for black holes.
