  Maxwell's demon is the quintessential example of information control, which
is necessary for designing quantum devices. In thermodynamics, the demon is an
intelligent being who utilizes the entropic nature of information to sort
excitations between reservoirs, thus lowering the total entropy. So far,
implementations of Maxwell's demon have largely been limited to Markovian
baths. In our work, we study the degree to which such a demon may be assisted
by non-Markovian effects using a superconducting circuit platform. The setup is
two baths connected by a demon-controlled qutrit interface, allowing the
transfer of excitations only if the overall entropy of the two baths is
lowered. The largest entropy reduction is achieved in a non-Markovian regime,
and importantly, due to non-Markovian effects, the demon performance can be
optimized through proper timing. Our results demonstrate that non-Markovian
effects can be exploited to boost the information transfer rate in quantum
Maxwell demons.
