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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


Lecturers
Pechen Alexander Nikolaevich
Volkov Boris Olegovich
Morzhin Oleg Vasilevich

Financial support
The event is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, agreement no. 075-15-2022-265).



Institutions
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

April 30, 2025 (Wed)
1. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

April 23, 2025 (Wed)
2. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

April 16, 2025 (Wed)
3. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

April 9, 2025 (Wed)
4. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

March 26, 2025 (Wed)
5. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

March 19, 2025 (Wed)
6. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

March 12, 2025 (Wed)
7. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

March 5, 2025 (Wed)
8. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

February 26, 2025 (Wed)
9. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

February 19, 2025 (Wed)
10. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

February 12, 2025 (Wed)
11. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

December 2, 2024 (Mon)
12. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

November 25, 2024 (Mon)
13. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

November 18, 2024 (Mon)
14. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

November 11, 2024 (Mon)
15. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

October 28, 2024 (Mon)
16. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

October 21, 2024 (Mon)
17. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

October 14, 2024 (Mon)
18. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

October 7, 2024 (Mon)
19. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

September 30, 2024 (Mon)
20. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

September 23, 2024 (Mon)
21. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

September 16, 2024 (Mon)
22. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  

September 9, 2024 (Mon)
23. 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) 		A. N. Pechen, B. O. Volkov, O. V. Morzhin
  
 
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