We study the effect of neutrino trapping in new-born quark stars within a three-flavor Nambu–Jona-Lasinio ( NJL ) model with self-consistently calculated quark masses . The phase diagrams and equations of state for charge neutral quark matter in \beta -equilibrium are presented , with and without trapped neutrinos . The compact star sequences for different neutrino untrapping scenarios are investigated and the energy release due to neutrino untrapping is found to be of the order of 10 ^ { 53 } erg . We find that hot quark stars characterized , e.g . , by an entropy per baryon of 1 - 2 and a lepton fraction of 0.4 , as models for the cores of newborn protoneutron stars , are in the two-flavor color superconducting ( 2SC ) state . High temperatures and/or neutrino chemical potentials disfavor configurations with a color-flavor-locked ( CFL ) phase . Stable quark star solutions with CFL cores exist only at low temperatures and neutrino chemical potentials .