Mathematical foundations of quantum information science. Part II September 14, 2022–May 10, 2023, online via Zoom
Quantum information theory is a new discipline that studies general laws of transmission,
storage, and transformation of information in the systems that obey the quantum mechanics.
Quantum information theory uses the mathematical apparatus of matrix and operator analysis
and noncommutative probability theory to study the potential capabilities of such systems. An
important byproduct is a significant clarification of the logical and probabilistic structure of
quantum mechanics, its foundations, and its relation to reality. The lectures discuss in detail the
fundamental concepts of the state, observable, quantum channel, its entropy and information
characteristics. The unusual capabilities of quantum systems for transmitting and converting
information are illustrated by examples of superdense encoding, quantum teleportation, and
efficient quantum algorithms.
The lectures provide the necessary information from classical information theory and a detailed
introduction to the statistical structure of quantum theory, so the knowledge of the main general
mathematical disciplines is sufficient for understanding the course.
Spring Semester Schedule of 2022/2023:
Time: Wednesday 10:00 – 11:25
First lecture: February 8
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 |
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Mathematical foundations of quantum information science. Part II, September 14, 2022–May 10, 2023 |
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May 10, 2023 (Wed) |
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Lecture 13. Mathematical foundations of quantum information science II A. S. Holevo May 10, 2023 10:00, online via Zoom
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May 3, 2023 (Wed) |
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Lecture 12. Mathematical foundations of quantum information science II A. S. Holevo May 3, 2023 10:00, online via Zoom
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April 26, 2023 (Wed) |
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Lecture 11. Mathematical foundations of quantum information science II A. S. Holevo April 26, 2023 10:00, online via Zoom
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April 19, 2023 (Wed) |
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Lecture 10. Mathematical foundations of quantum information science II A. S. Holevo April 19, 2023 10:00, online via Zoom
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April 12, 2023 (Wed) |
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Lecture 9. Mathematical foundations of quantum information science II A. S. Holevo April 12, 2023 10:00, online via Zoom
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April 5, 2023 (Wed) |
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Lecture 8. Mathematical foundations of quantum information science II A. S. Holevo April 5, 2023 10:00, online via Zoom
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March 29, 2023 (Wed) |
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Lecture 7. Mathematical foundations of quantum information science II A. S. Holevo March 29, 2023 10:00, online via Zoom
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March 22, 2023 (Wed) |
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8. |
Lecture 6. Mathematical foundations of quantum information science II A. S. Holevo March 22, 2023 10:00, online via Zoom
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March 15, 2023 (Wed) |
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9. |
Lecture 5. Mathematical foundations of quantum information science II A. S. Holevo March 15, 2023 10:00, online via Zoom
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March 1, 2023 (Wed) |
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10. |
Lecture 4. Mathematical foundations of quantum information science II A. S. Holevo March 1, 2023 10:00, online via Zoom
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February 22, 2023 (Wed) |
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Lecture 3. Mathematical foundations of quantum information science II A. S. Holevo February 22, 2023 10:00, online via Zoom
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February 15, 2023 (Wed) |
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12. |
Lecture 2. Mathematical foundations of quantum information science II A. S. Holevo February 15, 2023 10:00, online via Zoom
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February 8, 2023 (Wed) |
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13. |
Lecture 1. Mathematical foundations of quantum information science II A. S. Holevo February 8, 2023 10:00, online via Zoom
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December 21, 2022 (Wed) |
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14. |
Lecture 14. Mathematical foundations of quantum information science I A. S. Holevo December 21, 2022 10:00, online via Zoom
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December 14, 2022 (Wed) |
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15. |
Lecture 13. Mathematical foundations of quantum information science I A. S. Holevo December 14, 2022 10:00, online via Zoom
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December 7, 2022 (Wed) |
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16. |
Lecture 12. Mathematical foundations of quantum information science I A. S. Holevo December 7, 2022 10:00, online via Zoom
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November 30, 2022 (Wed) |
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17. |
Lecture 11. Mathematical foundations of quantum information science I A. S. Holevo November 30, 2022 10:00, online via Zoom
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November 23, 2022 (Wed) |
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18. |
Lecture 10. Mathematical foundations of quantum information science I A. S. Holevo November 23, 2022 10:00, online via Zoom
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November 16, 2022 (Wed) |
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19. |
Lecture 9. Mathematical foundations of quantum information science I A. S. Holevo November 16, 2022 10:00, online via Zoom
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November 9, 2022 (Wed) |
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20. |
Lecture 8. Mathematical foundations of quantum information science I A. S. Holevo November 9, 2022 10:00, online via Zoom
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November 2, 2022 (Wed) |
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Lecture 7. Mathematical foundations of quantum information science I A. S. Holevo November 2, 2022 10:00, online via Zoom
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October 26, 2022 (Wed) |
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22. |
Lecture 6. Mathematical foundations of quantum information science I A. S. Holevo October 26, 2022 10:00, online via Zoom
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October 19, 2022 (Wed) |
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23. |
Lecture 5. Mathematical foundations of quantum information science I A. S. Holevo October 19, 2022 10:00, online via Zoom
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October 12, 2022 (Wed) |
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24. |
Lecture 4. Mathematical foundations of quantum information science I A. S. Holevo October 12, 2022 10:00, online via Zoom
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October 5, 2022 (Wed) |
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25. |
Lecture 3. Mathematical foundations of quantum information science I A. S. Holevo October 5, 2022 10:00, online via Zoom
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September 28, 2022 (Wed) |
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26. |
Lecture 2. Mathematical foundations of quantum information science I A. S. Holevo September 28, 2022 10:00, online via Zoom
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September 14, 2022 (Wed) |
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27. |
Lecture 1. Mathematical foundations of quantum information science I A. S. Holevo September 14, 2022 10:00, online via Zoom
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