  We study the impacts of magnetic field on the neutrino transport inside
core-collapse supernovae (CCSNe). Magnetic field quantizes the momentum of
electrons and positrons, resulting in the modification of weak-interaction
cross sections and the chemical potentials of electrons and positrons. We
include these changes in the leakage scheme of neutrino transport and perform
1D CCSN simulations with GR1D, assuming the postbounce magnetic field strength
of $10^{16-17}$ G. The results show that the neutrino opacities are enhanced
due to the amplified interaction rates, resulting in a larger neutrinosphere.
This further reduces the peak value of neutrino luminosities and their decay
rates since neutrinos stay longer inside the neutrinosphere. Meanwhile, the
neutrino mean energies are smaller shortly after bounce and reach their peak
values at later times. As these neutrino properties are crucial in subsequent
nucleosynthesis processes, including the $\nu$p-process, $\nu$-process, and
$r$-process, our findings suggest that the magnetic field may leave discernible
marks on the abundance pattern of nucleosynthesis in CCSN.
