  Many of the contemporary formulations of quantum mechanics describe the
marginal probability distributions of entangled many-body systems in a
non-local way. Unlike the non-locality of joint distributions, the non-locality
of marginal distributions is not forced by theory or experiment. This paper
investigates the issue in the context of the Copenhagen, de Broglie-Bohm and
sum-over-paths interpretations. A dissociation between information flow into
quantum subsystems and the tensor product structure of wavefunctions is
highlighted in connection to the problem.
