  The study of Maxwell demon and quantum entanglement is important because of
its foundational significance in physics and its potential applications in
quantum information. Previous research on the Maxwell demon has primarily
focused on thermodynamics, taking into account quantum correlations. Here we
consider from another perspective and ask whether quantum non-locality
correlations can be simulated by performing work. The Maxwell demon-assisted
Einstein-Podolsky-Rosen (EPR) steering is thus proposed, which implies a new
type of loophole. The application of Landauer's erasure principle suggests that
the only way to close this loophole during a steering task is by continuously
monitoring the heat fluctuation of the local environment by the participant. We
construct a quantum circuit model of Maxwell demon-assisted EPR steering, which
can be demonstrated by current programmable quantum processors, such as
superconducting quantum computers. Based on this quantum circuit model, we
obtain a quantitative formula describing the relationship between energy
dissipation due to the work of the demon and quantum non-locality correlation.
The result is of great physical interest because it provides a new way to
explore and understand the relationship between quantum non-locality,
information, and thermodynamics.
