  One dimensional conductors are described by Luttinger liquid theory, which
predicts a power-law suppression of the density of states near the Fermi level.
The scaling exponent is non-universal in the general case, but is predicted to
be quantized for the chiral edge states of the fractional quantum Hall effect.
Here, we report conductance measurements across a point contact linking integer
and fractional quantum Hall edge states. At weak coupling, we observe the
predicted universal quadratic scaling with temperature and voltage. At strong
coupling, the conductance saturates to e^2/2h, arising from perfect Andreev
reflection of fractionalized quasi-particles at the point contact. We use the
strong coupling physics to realize a nearly dissipationless DC voltage step-up
transformer, whose gain of 3/2 arises directly from topological
fractionalization of electrical charge.
