  Since 2015 the LIGO and Virgo interferometers have detected gravitational
waves from almost one hundred coalescences of compact objects (black holes and
neutron stars). This article presents the results of a search performed with
data from the ANTARES telescope to identify neutrino counterparts to the
gravitational wave sources detected during the third LIGO/Virgo observing run
and reported in the catalogues GWTC-2, GWTC-2.1, and GWTC-3. This search is
sensitive to all-sky neutrinos of all flavours and of energies $>100$ GeV,
thanks to the inclusion of both track-like events (mainly induced by $\nu_\mu$
charged-current interactions) and shower-like events (induced by other
interaction types). Neutrinos are selected if they are detected within $\pm
500$ s from the GW merger and with a reconstructed direction compatible with
its sky localisation. No significant excess is found for any of the 80 analysed
GW events, and upper limits on the neutrino emission are derived. Using the
information from the GW catalogues and assuming isotropic emission, upper
limits on the total energy $E_{\rm tot, \nu}$ emitted as neutrinos of all
flavours and on the ratio $f_\nu = E_{\rm tot, \nu}/E_{\rm GW}$ between
neutrino and GW emissions are also computed. Finally, a stacked analysis of all
the 72 binary black hole mergers (respectively the 7 neutron star - black hole
merger candidates) has been performed to constrain the typical neutrino
emission within this population, leading to the limits: $E_{\rm tot, \nu} < 4.0
\times 10^{53}$ erg and $f_\nu < 0.15$ (respectively, $E_{\rm tot, \nu} < 3.2
\times 10^{53}$ erg and $f_\nu < 0.88$) for $E^{-2}$ spectrum and isotropic
emission. Other assumptions including softer spectra and non-isotropic
scenarios have also been tested.
