  We propose a model to implement and simulate different traffic-flow
conditions in terms of quantum graphs hosting an ($N$+1)-level dot at each
site, which allows us to keep track of the type and of the destination of each
vehicle. By implementing proper Lindbladian local dissipators, we derive the
master equations that describe the traffic flow in our system. To show the
versatility and the reliability of our technique, we employ it to model
different types of traffic flow (the symmetric three-way roundabout and the
three-road intersection). Eventually, we successfully compare our predictions
with results from classical models.
