  Young core-collapse supernovae (YSNe) are factories of high-energy neutrinos
and gamma-rays as the shock accelerated protons efficiently interact with the
protons in the dense circumstellar medium. We explore the detection prospects
of secondary particles from YSNe of Type IIn, II-P, IIb/II-L, and Ib/c. Type
IIn YSNe are found to produce the largest flux of neutrinos and gamma-rays,
followed by II-P YSNe. Fermi-LAT and the Cherenkov Telescope Array
(IceCube-Gen2) have the potential to detect Type IIn YSNe up to $10$~Mpc
($4$~Mpc), with the remaining YSNe Types being detectable closer to Earth. We
also find that YSNe may dominate the diffuse neutrino background, especially
between $10$~TeV and $10^3$~TeV, while they do not constitute a dominant
component to the isotropic gamma-ray background observed by Fermi-LAT. At the
same time, the IceCube high-energy starting events and Fermi-LAT data already
allow us to exclude a large fraction of the model parameter space of YSNe
otherwise inferred from multi-wavelength electromagnetic observations of these
transients.
