00745nas a2200133   4500000000100000000000100001000000100002008004100003100002200044245004500066300001400111490000700125520047900132       2013                            d1 aZbigniew Puchała00aLocal controllability of quantum systems  a459–4660 v123 aWe give a criterion that is sufficient for controllability of multipartite quantum systems. We generalize the graph infection criterion to the quantum systems that cannot be described with the use of a graph theory. We introduce the notation of hypergraphs and reformulate the infection property in this setting. The introduced criterion has a topological nature and therefore it is not connected to any particular experimental realization of quantum information processing.