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Controllability Analysis of Quantum Systems Immersed Within an Engineered Environment

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controllability_lindblad_Grigoriu_Rabitz_Turinici_v25.pdf (313.0Kb)
Date
2013
Link to item file
https://hal.archives-ouvertes.fr/hal-00696546
Dewey
Sciences connexes (physique, astrophysique)
Sujet
Lie group controllability; open system controllability; quantum control; controllability of the Lindblad equation; controllability in a non-compact Lie group
Journal issue
Journal of Mathematical Chemistry
Volume
51
Number
6
Publication date
2013
Article pages
1548-1560
Publisher
Baltzer
DOI
http://dx.doi.org/10.1007/s10910-013-0163-6
URI
https://basepub.dauphine.fr/handle/123456789/9252
Collections
  • CEREMADE : Publications
Metadata
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Author
Grigoriu, Andreea
Turinici, Gabriel
Rabitz, Herschel
Type
Article accepté pour publication ou publié
Abstract (EN)
The problem of controllability of open quantum systems (i.e., quantum systems interacting with an environment), whose dynamics is described by a non-Markowian master equation is addressed. The manipulations of the dynamics is realized with both a laser eld and a tailored nonequilibrium, and generally time-dependent, state of the surrounding environment. Lie algebra theory is used to characterize the structures of the reachable states sets and to prove controllability. The theoretical results are supported by examples.

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