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

Traffic models and traffic-jam transition in quantum ($N$+1)-level systems