  The swap Monte Carlo algorithm allows the preparation of highly stable glassy
configurations for a number of glass-formers, but is inefficient for some
models, such as the much studied binary Kob-Andersen (KA) mixture. We have
recently developed generalisations to the KA model where swap can be very
effective. Here, we show that these models can in turn be used to considerably
enhance the stability of glassy configurations in the original KA model at no
computational cost. We successfully develop several numerical strategies both
in and out of equilibrium to achieve this goal and show how to optimise them.
We provide several physical measurements indicating that the proposed
algorithms considerably enhance mechanical and thermodynamic stability in the
KA model, including a transition towards brittle yielding behaviour. Our
results thus pave the way for future studies of stable glasses using the KA
model.
