  The interplay between coherent and dissipative dynamics required in various
control protocols of quantum technology has motivated studies of open-system
degeneracies, referred to as exceptional points (EPs). Here, we introduce a
scheme for fast quantum-state synthesis using exceptional-point engineering in
a lossy chain of three superconducting resonators. We theoretically find that
the rich physics of EPs can be used to identify regions in the parameter space
that favor a fast and quasi-stable transfer of squeezing and entanglement, or a
fast reset of the system. For weakly interacting resonators with the coupling
strength $g$, the obtained quasi-stabilization time scales are identified as
$1/(2\sqrt{2}g)$, and reset infidelities below $10^{-5}$ are obtained with a
waiting time of roughly $6/g$ in the case of weakly squeezed resonators. Our
results shed light on the role of EPs in multimode Gaussian systems and pave
the way for optimized distribution of squeezing and entanglement between
different nodes of a photonic network using dissipation as a resource.
