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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

Type
Communication / Conférence
External document link
https://hal.archives-ouvertes.fr/hal-00522130
Date
2010
Conference country
UNITED STATES
Book title
49th IEEE Conference on Decision and Control (CDC), 2010. Proceedings
Publisher
IEEE
Published in
Piscataway, NJ
ISBN
9781424477456
Pages
5444-5449
Publication identifier
Metadata
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Author(s)
Belhadj, Mohamed
Grigoriu, Andreea
Turinici, Gabriel cc
Abstract (EN)
We analyze in this paper controllability aspects for a 4-dimensional quantum system. The ”strong regularity” (cf. [1]) 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 / Keywords
controllability aspects; study of singularity of trajectories; 4-dimensional quantum system