  The Rindler horizon in Minkowski spacetime can be implanted with
supertranslation hair by a matter shock wave without planar symmetry, and the
hair is observable as a supertranslation memory on the Rindler family of
uniformly linearly accelerated observers. We show that this classical memory is
accompanied by a supertranslation quantum memory that modulates the
entanglement between the opposing Rindler wedges in quantum field theory. A
corresponding phenomenon across a black hole horizon may play a role in
Hawking, Perry and Strominger's proposal for supertranslations to provide a
solution to the black hole information paradox.
