  We propose a model to simulate different traffic-flow conditions in terms of
quantum graphs hosting an (N+1)-level dot at each site. Our model allows us to
keep track of the type and of the destination of each vehicle. The traffic flow
inside the system is encoded in a proper set of Lindbladian local dissipators
that describe the time evolution of the system density matrix. Taking advantage
of the invariance of the Lindblad master equation under inhomogeneous
transformations we derive the quantum Hamiltonian for the bulk dynamics in a
proper experimental setup.
