  Galactic winds are ubiquitously observed in galaxies both locally and in the
high-redshift Universe. While these winds span many orders of magnitude in both
temperature and density, observations of nearby galaxies show that the cold
molecular phase tends to dominate both the mass and momentum carried. The
capabilities of the ngVLA for the study of molecular outflows at low redshift
are described elsewhere in this Volume; here we focus on the ability of the
ngVLA to detect and image such outflows in the high-redshift Universe via deep
observations of low-J transitions of the CO molecule. The ngVLA is capable of
detecting molecular outflows from typical galaxies on the star-forming sequence
with log(Mstar/Msun) >~ 10.5 to z~3, and galaxies with higher star formation
rates to beyond z~4. The ngVLA will enable an understanding of the feedback
processes that shape galaxies throughout the epoch of galaxy assembly when the
bulk of the stars in the Universe were formed. While the emission associated
with outflows is faint in comparison to the emission from the galaxy, deep
observations are also required for high-resolution dynamical studies, allowing
for the routine simultaneous detection and imaging of the outflows.
