Control of Quantum Systems

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SEMINARS

Control of Quantum Systems
September 9, 2024–April 30, 2025, Steklov Mathematical Institute, Room 430 (8 Gubkina)

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watching recorded videos, to register at this link.

Spring Semester Schedule of 2024/2025:

Time: Wednesday 13:10 – 14:35

First lecture: February 12

RSS: Forthcoming seminars

Lecturers
Pechen Alexander Nikolaevich
Volkov Boris Olegovich
Morzhin Oleg Vasilevich

Organizations
Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center

Control of Quantum Systems, September 9, 2024–April 30, 2025

Lecture 23. Control by quantum measurements. Quantum feedback control A. N. Pechen, B. O. Volkov, O. V. Morzhin April 30, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 22. Lyapunov function in quantum control problems A. N. Pechen, B. O. Volkov, O. V. Morzhin April 23, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 21. GRadient Ascent Pulse Engineering (GRAPE) method A. N. Pechen, B. O. Volkov, O. V. Morzhin April 16, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 20. Gradient projection method A. N. Pechen, B. O. Volkov, O. V. Morzhin April 9, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 19. Bloch equation for nuclear magnetic resonance. Application of Pontryagin's maximum principle A. N. Pechen, B. O. Volkov, O. V. Morzhin March 26, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 18. Quantum channels and complex Stiefel manifolds A. N. Pechen, B. O. Volkov, O. V. Morzhin March 19, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 17. Kinematic control landscape for open quantum systems A. N. Pechen, B. O. Volkov, O. V. Morzhin March 12, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 16. Master equations for open quantum systems with coherent and incoherent controls A. N. Pechen, B. O. Volkov, O. V. Morzhin March 5, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 15. Control of open quantum systems (continued) A. N. Pechen, B. O. Volkov, O. V. Morzhin February 26, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 14. Higher-order traps for N-level systems. Control of open quantum systems A. N. Pechen, B. O. Volkov, O. V. Morzhin February 19, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 13. Higher-order traps. Quantum landscape for control problem of three-level Lambda-atom type system A. N. Pechen, B. O. Volkov, O. V. Morzhin February 12, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 12. Pontryagin maximum principle for control of unitary dynamics A. N. Pechen, B. O. Volkov, O. V. Morzhin December 2, 2024 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 11. Some types of optimal control problems for closed quantum systems and optimization methods A. N. Pechen, B. O. Volkov, O. V. Morzhin November 25, 2024 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 10. Absence of traps in the dynamic landscape for two-level quantum systems A. N. Pechen, B. O. Volkov, O. V. Morzhin November 18, 2024 10:00 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 9. Singular controls. Constant controls as singular controls. Traps in the dynamic quantum control landscapes A. N. Pechen, B. O. Volkov, O. V. Morzhin November 11, 2024 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 8. Dynamic quantum control landscape. Dyson series and Taylor expansion for objective functionals A. N. Pechen, B. O. Volkov, O. V. Morzhin October 28, 2024 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 7. Quantum control landscapes. Kinematic landscape for N-level closed quantum systems A. N. Pechen, B. O. Volkov, O. V. Morzhin October 21, 2024 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 6. Controllability of quantum systems as controllability on a unitary group A. N. Pechen, B. O. Volkov, O. V. Morzhin October 14, 2024 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 5. Notions and conditions on controllability for closed quantum systems A. N. Pechen, B. O. Volkov, O. V. Morzhin October 7, 2024 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 4. Formulation of quantum control problems. Оbjective functionals and their physical meaning A. N. Pechen, B. O. Volkov, O. V. Morzhin September 30, 2024 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 3. Qubit. Bloch sphere and Bloch ball A. N. Pechen, B. O. Volkov, O. V. Morzhin September 23, 2024 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 2. Quantum states. Liouville–von Neumann equation A. N. Pechen, B. O. Volkov, O. V. Morzhin September 16, 2024 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 1. Carathéodory equations. Control-dependent Schrödinger equation A. N. Pechen, B. O. Volkov, O. V. Morzhin September 9, 2024 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)