  Autonomous Maxwell demon is a new type of information engine proposed by
Mandal and Jarzynski, which can produce work by exploiting an information tape.
Here, we show that a stochastic resetting mechanism can be used to improve the
performance of autonomous Maxwell demons notably. Generally, the performance is
composed of two important features, the time cost for an autonomous demon to
reach its functional state and its efficacious working region in its functional
state. Here, we provide a set of design principles for the system, which are
capable of improving the two important features. On the one hand, one can drive
any autonomous demon system to its functional periodic steady state at a
fastest pace for any initial distribution through resetting the demon for a
predetermined critical time and closing the reset after that. On the other
hand, the system can reach a new functional state when the resetting is always
on, in which case the efficacious region of the demon being extended
significantly. Moreover, a dual function region in a new phase diagram of the
demon with resetting has been found. Remarkably, in this dual function region
the demon with resetting can realize anomalous output of work and erasure of
information on the tape simultaneously, violating the second law of
thermodynamics apparently. To this question, we derive a new modified Clausius
inequality to restore the second law by taking the cost of resetting into
account.
