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

Bernard Bonnard 1 Olivier Cots 2 Nataliya Shcherbakova 2
1 UB - Université de Bourgogne
2 IRIT - Institut de recherche en informatique de Toulouse
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.
Keywords : Optimality Conditions Quantum Systems Optimal Control
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Journal articles
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https://hal.archives-ouvertes.fr/hal-01122070
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Submitted on : Tuesday, March 3, 2015 - 11:20:13 AM
Last modification on : Thursday, October 24, 2019 - 2:44:08 PM
Long-term archiving on : Thursday, June 4, 2015 - 10:45:23 AM

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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, Springer Verlag (Germany), 2013, vol. 195 (n° 3), pp. 311-335. ⟨10.1007/s10958-013-1582-4⟩. ⟨hal-01122070⟩

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