Singular constant control trajectories and transition degeneracies in a closed 4-level quantum system
Belhadj, Mohamed; Grigoriu, Andreea; Turinici, Gabriel (2010), Singular constant control trajectories and transition degeneracies in a closed 4-level quantum system, 49th IEEE Conference on Decision and Control (CDC), 2010. Proceedings, IEEE : Piscataway, NJ, p. 5444-5449. 10.1109/CDC.2010.5717900
TypeCommunication / Conférence
External document linkhttps://hal.archives-ouvertes.fr/hal-00522130
Conference countryUNITED STATES
Book title49th IEEE Conference on Decision and Control (CDC), 2010. Proceedings
MetadataShow full item record
Abstract (EN)We analyze in this paper controllability aspects for a 4-dimensional quantum system. The ”strong regularity” (cf. ) has been proven to be sufﬁcient condition for global controllability. A conjecture in the literature asks whether this condition (up to the introduction of an additive constant in the control ﬁeld) is also necessary. We prove here a negative result. The result also applies to the study of singularity of trajectories associated to constant control ﬁeld.
Subjects / Keywordscontrollability aspects; study of singularity of trajectories; 4-dimensional quantum system
Showing items related by title and author.
Coron, Jean-Luc; Grigoriu, Andreea; Lefter, Catalin; Turinici, Gabriel (2009) Article accepté pour publication ou publié