  The SRG/eROSITA All-Sky Survey (eRASS) is expected to contain ~100 quasars
that emitted their light when the universe was less than a billion years old,
i.e. at z>5.6. By selection, these quasars populate the bright end of the AGN
X-ray luminosity function and their count offers a powerful demographic
diagnostic of the parent super-massive black hole population. Of the >~ 400
quasars that have been discovered at z>5.6 to date, less than 15 % have been
X-ray detected. We present a pilot survey to uncover the elusive X-ray luminous
end of the distant quasar population. We have designed a quasar selection
pipeline based on optical, infrared and X-ray imaging data from DES DR2, VHS
DR5, CatWISE2020 and the eRASS. The core selection method relies on SED
template fitting. We performed optical follow-up spectroscopy with the
Magellan/LDSS3 instrument for the redshift confirmation of a subset of
candidates. We have further obtained a deeper X-ray image of one of our
candidates with Chandra ACIS-S. We report the discovery of five new quasars in
the redshift range 5.6 < z < 6.1. Two of these quasars are detected in eRASS
and are by selection X-ray ultra-luminous. These quasars are also detected at
radio frequencies. The first one is a broad absorption line quasar which shows
significant X-ray dimming over 3.5 years, i.e. about 6 months in the quasar
rest frame. The second radio-detected quasar is a jetted source with compact
morphology. We show that a blazar configuration is likely for this source,
making it the second most distant blazar known to date. With our pilot study,
we demonstrate the power of eROSITA as a discovery machine for luminous quasars
in the epoch of reionization. The X-ray emission of the two eROSITA detected
quasars are likely to be driven by different high-energetic emission mechanisms
a diversity which will be further explored in a future systematic
full-hemisphere survey.
