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Mathematical foundations of quantum information science
(September 27, 2023–May 8, 2024, online via Zoom)

We kindly ask all participants, including remote ones and those
watching recorded videos, to register at this link.



Spring Semester Schedule of 2023/2024:

Time: Wednesday 10:00 – 11:25

First lecture: February 7


Lecturer
Holevo Alexander Semenovich

Financial support
The course 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


Mathematical foundations of quantum information science, September 27, 2023–May 8, 2024

May 8, 2024 (Wed)
1. Lecture 13. Information capacities of quantum channels.
A. S. Holevo
May 8, 2024 10:00, online via Zoom
  

April 24, 2024 (Wed)
2. Lecture 12. Monotonicity of the relative entropy and generalized H-theorem.
A. S. Holevo
April 24, 2024 10:00, online via Zoom
  

April 17, 2024 (Wed)
3. Lecture 11. The Kraus representation. Channels and open systems.
A. S. Holevo
April 17, 2024 10:00, online via Zoom 		A. S. Holevo
  

April 10, 2024 (Wed)
4. Lecture 10. Complete positivity. Definition of quantum channel.
A. S. Holevo
April 10, 2024 10:00, online via Zoom 		A. S. Holevo
  

April 3, 2024 (Wed)
5. Lecture 9. Quantum information bound. Coding theorem for classical-quantum channel.
A. S. Holevo
April 3, 2024 10:00, online via Zoom 		A. S. Holevo
  

March 27, 2024 (Wed)
6. Lecture 8. Quantum data compression
A. S. Holevo
March 27, 2024 10:00, online via Zoom 		A. S. Holevo
  

March 20, 2024 (Wed)
7. Lecture 7. Coding theorem for a classical noisy channel.
A. S. Holevo
March 20, 2024 10:00, online via Zoom 		A. S. Holevo
  

March 13, 2024 (Wed)
8. Lecture 6. Entropic characteristics of classical communication channels.
A. S. Holevo
March 13, 2024 10:00, online via Zoom 		A. S. Holevo
  

March 6, 2024 (Wed)
9. Lecture 5. Measures of closeness of quantum states.
A. S. Holevo
March 6, 2024 10:00, online via Zoom 		A. S. Holevo
  

February 28, 2024 (Wed)
10. Lecture 4. Optimal discrimination of quantum states.
A. S. Holevo
February 28, 2024 10:00, online via Zoom 		A. S. Holevo
  

February 21, 2024 (Wed)
11. Lecture 3. Naimark's theorem. Quantum randomisation.
A. S. Holevo
February 21, 2024 10:00, online via Zoom 		A. S. Holevo
  

February 14, 2024 (Wed)
12. Lecture 2. Overcomplete systems of vectors in Hilbert space.
A. S. Holevo
February 14, 2024 10:00, online via Zoom 		A. S. Holevo
  

February 7, 2024 (Wed)
13. Lecture 1. Probability operator-valyed measures.
A. S. Holevo
February 7, 2024 10:00, online via Zoom 		A. S. Holevo
  

December 13, 2023 (Wed)
14. Lecture 12. Mathematical foundations of quantum information science I
A. S. Holevo
December 13, 2023 10:00, online via Zoom 		A. S. Holevo
  

December 6, 2023 (Wed)
15. Lecture 11. Mathematical foundations of quantum information science I
A. S. Holevo
December 6, 2023 10:00, online via Zoom 		A. S. Holevo
  

November 29, 2023 (Wed)
16. Lecture 10. Mathematical foundations of quantum information science I
A. S. Holevo
November 29, 2023 10:00, online via Zoom 		A. S. Holevo
  

November 22, 2023 (Wed)
17. Lecture 9. Mathematical foundations of quantum information science I
A. S. Holevo
November 22, 2023 10:00, online via Zoom 		A. S. Holevo
  

November 15, 2023 (Wed)
18. Lecture 8. Mathematical foundations of quantum information science I
A. S. Holevo
November 15, 2023 10:00, online via Zoom 		A. S. Holevo
  

November 8, 2023 (Wed)
19. Lecture 7. Mathematical foundations of quantum information science I
A. S. Holevo
November 8, 2023 10:00, online via Zoom 		A. S. Holevo
  

November 1, 2023 (Wed)
20. Lecture 6. Mathematical foundations of quantum information science I
A. S. Holevo
November 1, 2023 10:00, online via Zoom 		A. S. Holevo
  

October 25, 2023 (Wed)
21. Lecture 5. Mathematical foundations of quantum information science I
A. S. Holevo
October 25, 2023 10:00, online via Zoom 		A. S. Holevo
  

October 18, 2023 (Wed)
22. Lecture 4. Mathematical foundations of quantum information science I
A. S. Holevo
October 18, 2023 10:00, online via Zoom 		A. S. Holevo
  

October 11, 2023 (Wed)
23. Lecture 3. Mathematical foundations of quantum information science I
A. S. Holevo
October 11, 2023 10:00, online via Zoom 		A. S. Holevo
  

October 4, 2023 (Wed)
24. Lecture 2. Mathematical foundations of quantum information science I
A. S. Holevo
October 4, 2023 10:00, online via Zoom 		A. S. Holevo
  

September 27, 2023 (Wed)
25. Lecture 1. Mathematical foundations of quantum information science I
A. S. Holevo
September 27, 2023 10:00, online via Zoom 		A. S. Holevo
  
 
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