Reversibility vs local creation/destruction

Interacting quantum walk on a graph

“…The model introduced here revealed so rich that many interesting perspectives arise. The most obvious direction is to generalize the system to take into account changes in the graph topology [46][47][48]. Supposing the graph itself as a quantum object implies states with superpositions of different graphs, and therefore the possibility to answer questions like, for instance, the type of graphs that maximize, for a given degree (to impose locality), the entanglement entropy for some of the degrees of freedom [49].…”