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Control of Quantum Systems
September 9, 2024–May 28, 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–May 28, 2025

December 2, 2024 (Mon)
1. Lecture 12. The 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)
2. Lecture 11. Some types of optimal control problems and optimization methods for closed quantum systems.
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)
3. Lecture 10. Quantum control landscapes. 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)
4. Lecture 9. Singular controls. Constant controls as singular controls. Traps in dynamic quantum 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)
5. 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)
6. Lecture 7. Quantum control landscapes. Kinematic landscape for N-level 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)
7. 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)
8. Lecture 5. Notions and conditions of 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)
9. 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)
10. Lecture 3. Qubit. Bloch sphere and 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)
11. 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)
12. 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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