  Quantum energy teleportation (QET) is, from an operational viewpoint of
distant protocol users, the transportation of energy via local operations and
classical communication. QET has various links to fundamental research fields,
including black hole physics, the quantum theory of Maxwell's demon, and
condensed-matter entanglement. There are promising signs that QET will be
experimentally verified using the chiral boson fields of quantum Hall edge
currents. In this Letter, we prove that, using the vacuum state of a quantum
field, the upper bound of the amount of energy teleported by QET is inversely
proportional to the transfer distance. This distance bound can be overcome by
using squeezed states with local-vacuum regions.
