  Quantum Hall phases are gapped in the bulk but support chiral edge modes,
both charged and neutral. Here we consider a circuit where the path from source
to drain necessarily passes through a segment consisting solely of neutral
modes. Surprisingly, we find that upon biasing the source, a dc current is
detected at the drain. Thus, neutral modes carry information that can be used
to nonlocally reconstruct a dc charge current. We conclude with a possible
experimental realization of this phenomenon.
