  Large-scale quantum-correlated networks could transform technologies ranging
from communications and cryptography to computation, metrology, and simulation
of novel materials. Critical to achieving such quantum enhancements is
distributing high-quality entanglement between distant nodes. This is made
possible in the unavoidable presence of decoherence by entanglement
distillation. However, current versions of this protocol are prohibitively
costly in terms of resources. We introduce a new scheme for continuous-variable
entanglement distillation that requires only linear temporal and constant
physical or spatial resources, both of which are exponential improvements over
existing protocols. Our scheme uses a fixed module - an entanglement distillery
- comprising only four quantum memories of at most 50 % storage efficiency and
allowing a feasible experimental implementation. Tangible quantum advantages
are obtained by using non-ideal quantum memories outside their conventional
role of storage. By creating, storing and processing information in the same
physical space, the scheme establishes a potentially valuable technique for
designing stable, scalable protocols across different quantum technologies.
