Journal of Mathematical Sciences

, Volume 195, Issue 3, pp 311–335 | Cite as

Energy Minimization Problem in Two-Level Dissipative Quantum Control: Meridian Case



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 from [5] concerning 2D solutions in the case where the Hamiltonian dynamics are integrable.


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Institut de Mathématiques de Bourgogne and ENSEEIHT-IRIT INP ToulouseToulouseFrance

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