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Control of Quantum Systems, September 9, 2024–April 30, 2025
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Lecture 1. Carathéodory equations. Control-dependent Schrödinger equation
А. Н. Печень, Б. О. Волков, О. В. Моржин
September 9, 2024 13:10
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Lecture 2. Quantum states. Liouville–von Neumann equation
А. Н. Печень, Б. О. Волков, О. В. Моржин
September 16, 2024 13:10
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Lecture 3. Qubit. Bloch sphere and Bloch ball
А. Н. Печень, Б. О. Волков, О. В. Моржин
September 23, 2024 13:10
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Lecture 4. Formulation of quantum control problems. Оbjective functionals and their physical meaning
А. Н. Печень, Б. О. Волков, О. В. Моржин
September 30, 2024 13:10
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Lecture 5. Notions and conditions on controllability for closed quantum systems
А. Н. Печень, Б. О. Волков, О. В. Моржин
October 7, 2024 13:10
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Lecture 6. Controllability of quantum systems as controllability on a unitary group
А. Н. Печень, Б. О. Волков, О. В. Моржин
October 14, 2024 13:10
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Lecture 7. Quantum control landscapes. Kinematic landscape for N-level closed quantum systems
А. Н. Печень, Б. О. Волков, О. В. Моржин
October 21, 2024 13:10
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Lecture 8. Dynamic quantum control landscape. Dyson series and Taylor expansion for objective functionals
А. Н. Печень, Б. О. Волков, О. В. Моржин
October 28, 2024 13:10
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Lecture 9. Singular controls. Constant controls as singular controls. Traps in the dynamic quantum control landscapes
А. Н. Печень, Б. О. Волков, О. В. Моржин
November 11, 2024 13:10
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Lecture 10. Absence of traps in the dynamic landscape for two-level quantum systems
А. Н. Печень, Б. О. Волков, О. В. Моржин
November 18, 2024 10:00
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Lecture 11. Some types of optimal control problems for closed quantum systems and optimization methods
А. Н. Печень, Б. О. Волков, О. В. Моржин
November 25, 2024 13:10
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Lecture 12. Pontryagin maximum principle for control of unitary dynamics
А. Н. Печень, Б. О. Волков, О. В. Моржин
December 2, 2024 13:10
© , 2025