  In a Rindler-type coordinate system spanned in a region outside of a black
hole horizon, we have nonvanishing classical holographic charges as soft hairs
on the horizon for stationary black holes. Taking a large black hole mass
limit, the spacetimes with the charges are described by asymptotic Rindler
metrics. We construct a general theory of gravitational holographic charges for
a (1+3)-dimensional linearized gravity field in the Minkowski background with
Rindler horizons. Although matter crossing a Rindler horizon causes horizon
deformation and a time-dependent coordinate shift, that is, gravitational
memory, the supertranslation and superrotation charges on the horizon can be
defined during and after its passage through the horizon. It is generally
proven that holographic states on the horizon cannot store any information
about absorbed perturbative gravitational waves. However, matter crossing the
horizon really excites holographic states. By using gravitational memory
operators, which consist of the holographic charge operators, we suggest a
resolution of the no-cloning paradox of quantum information between matter
falling into the horizon and holographic charges on the horizon from the
viewpoint of the contextuality of quantum measurement.
