The black hole information problem describes a tension between the point of view of an observer exterior to a black hole, who should see it evaporate according to the laws of quantum mechanics, and an observer who falls in, who should see nothing special about spacetime as they pass the event horizon. The experience of the infalling observer must be encoded in the fundamental description of the black hole; such a “holographic map” must be inherently non-isometric. I describe the “backwards-forwards map”, a candidate holographic map involving the time evolution of both the interior and exterior descriptions as well as post-selection, in a toy model for a black hole made out of qubits.