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Energy minimization problem in two-level dissipative quantum control: meridian case

Bonnard, Bernard and Cots, Olivier and Shcherbakova, Nataliya Energy minimization problem in two-level dissipative quantum control: meridian case. (2013) Journal of Mathematical Sciences, 195 (3). 311-335. ISSN 1072-3374

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Official URL: http://dx.doi.org/10.1007/s10958-013-1582-4

Abstract

We analyze the energy-minimizing problem for a two-level dissipative quantum system described by the Kossakowsky-Lindblad equation. According to the Pontryagin Maximum Principle (PMP), minimizers can be selected among normal and abnormal extremals whose dynamics are classified according to the values of the dissipation parameters. Our aim is to improve our previous analysis concerning 2D solutions in the case where the Hamiltonian dynamics are integrable.

Item Type:Article
Additional Information:Thanks to Springer Verlag editor. The definitive version is available at http://link.springer.com/article/10.1007%2Fs10958-013-1582-4
HAL Id:hal-01122070
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Other partners > Université de Bourgogne - UB (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:03 Mar 2015 10:50

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