  In this Essay we construct a concrete, non-perturbative realization of metric
reconstruction using quantum-optical model of particle detectors in
relativistic quantum information. The non-perturbative approach allows us to
realize a version of "short-distance physics corresponds to poor statistics"
idea by Kempf which occurs way above the Planck scale before one reaches the
quantum-gravitational regime. In particular, the "fuzziness" of spacetime that
arise from operational measurement protocols can be given a holographic dual
interpretation using bulk-to-boundary correspondence between scalar correlators
in asymptotically flat spacetimes. The holographic interpretation necessitates
imperfect metric reconstruction even in principle due to the universality of
future null infinity.
