  Beam-recoil transferred polarizations for the exclusive electroproduction of
$K^+\Lambda$ and $K^+\Sigma^0$ final states from an unpolarized proton target
have been measured using the CLAS12 spectrometer at Jefferson Laboratory. The
measurements at beam energies of 6.535~GeV and 7.546~GeV span the range of
four-momentum transfer $Q^2$ from 0.3 to 4.5~GeV$^2$ and invariant energy $W$
from 1.6 to 2.4~GeV, while covering the full center-of-mass angular range of
the $K^+$. These new data extend the existing hyperon polarization data from
CLAS in a similar kinematic range but from a significantly larger dataset. They
represent an important addition to the world data, allowing for better
exploration of the reaction mechanism in strangeness production processes, for
further understanding of the spectrum and structure of excited nucleon states,
and for improved insight into the strong interaction in the regime of
non-perturbative dynamics.
