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Article Dans Une Revue Journal of Mathematical Sciences Année : 2013

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

Résumé

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.
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Dates et versions

hal-01122070 , version 1 (03-03-2015)

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Bernard Bonnard, Olivier Cots, Nataliya Shcherbakova. Energy minimization problem in two-level dissipative quantum control: meridian case. Journal of Mathematical Sciences, 2013, vol. 195 (n° 3), pp. 311-335. ⟨10.1007/s10958-013-1582-4⟩. ⟨hal-01122070⟩
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