
Controllability Analysis of Quantum Systems Immersed Within an Engineered Environment
Grigoriu, Andreea; Turinici, Gabriel; Rabitz, Herschel (2013), Controllability Analysis of Quantum Systems Immersed Within an Engineered Environment, Journal of Mathematical Chemistry, 51, 6, p. 1548-1560. http://dx.doi.org/10.1007/s10910-013-0163-6
Type
Article accepté pour publication ou publiéExternal document link
https://hal.archives-ouvertes.fr/hal-00696546Date
2013Journal name
Journal of Mathematical ChemistryVolume
51Number
6Publisher
Baltzer
Pages
1548-1560
Publication identifier
Metadata
Show full item recordAbstract (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.Subjects / Keywords
Lie group controllability; open system controllability; quantum control; controllability of the Lindblad equation; controllability in a non-compact Lie groupRelated items
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