Sources of ultrahigh energy photons operating at high redshift produce a di
ffuse background of neutrinos. At high redshift, when the cosmic microwave
background radiation has a higher temperature, an electromagnetic cascade o
riginated by an energetic photon can generate neutrinos via muon and pion p
roduction and decay. We calculate numerically the neutrino spectrum of the
cascade neutrinos produced by various photon sources (which need not necess
arily generate a large flux of primary neutrinos). A distinctive feature of
this flux is a "bump" in the neutrino spectrum at energies E similar to 10
(17) eV. The detection of such neutrinos can help us understand the origin
of ultrahigh-energy cosmic rays.