  We investigate protoneutron star matter using the state-of-the-art
perturbative equation of state for cold and dense QCD in the presence of a
fixed lepton fraction in which both electrons and neutrinos are included.
Besides computing the modifications in the equation of state due to the
presence of trapped neutrinos, we show that stable strange quark matter has a
more restricted parameter space. We also study the possibility of nucleation of
unpaired quark matter in the core of protoneutron stars by matching the
lepton-rich QCD pressure onto a hadronic equation of state, namely TM1 with
trapped neutrinos. Using the inherent dependence of perturbative QCD on the
renormalization scale parameter, we provide a measure of the uncertainty in the
observables we compute.
