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.
Cited by 4
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Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Istituto Nazionale di Fisica Nucleare / National Institute for Nuclear Physics [INFN]
- 2 Università della Calabria / University of Calabria [UNICAL]
- European Regional Development Fund [ERDF]
- Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR) (through Organization: Ministero dell'Istruzione, dell'Università e della Ricerca / Ministry of Education, Universities and Research [MIUR])