Energy Minimization Problem in Two-Level Dissipative Quantum Control: Meridian Case
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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  concerning 2D solutions in the case where the Hamiltonian dynamics are integrable.
KeywordsConjugate Point Pontryagin Maximum Principle Integrable Case Spherical Case Dissipation Parameter
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