  We present a new method of finding cosmic voids using tomographic maps of
Ly{\alpha} forest flux. We identify cosmological voids with radii of 2 - 12
$h^{-1}$Mpc in a large N-body simulation at $z = 2.5$, and characterize the
signal of the high-redshift voids in density and Ly{\alpha} forest flux. The
void properties are similar to what has been found at lower redshifts, but they
are smaller and have steeper radial density profiles. Similarly to what has
been found for low-redshift voids, the radial velocity profiles have little
scatter and agree very well with the linear theory prediction. We run the same
void finder on an ideal Ly{\alpha} flux field and tomographic reconstructions
at various spatial samplings. We compare the tomographic map void catalogs to
the density void catalog and find good agreement even with modest-sized voids
($r > 6 \, h^{-1}$Mpc). Using our simple void-finding method, the configuration
of the ongoing CLAMATO survey covering 1 deg$^2$ would provide a sample of
about 100 high-redshift voids. We also provide void-finding forecasts for
larger area surveys, and discuss how these void samples can be used to test
modified gravity models, study high-redshift void galaxies, and to make an
Alcock-Paczynski measurement. To aid future work in this area, we provide
public access to our simulation products, catalogs, and sample tomographic flux
maps.
