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Mathematical foundations of quantum information science
September 8–December 29, 2021, online via Zoom, Moscow

We kindly ask all participants, including remote ones and those
watching recorded videos, to register at https://forms.gle/sztMzu4pMqRDe2T5A.


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.

Lecture notes: http://www.mathnet.ru/php/currentissue.phtml?jrnid=lkn&option_lang=eng


Fall Semester Schedule of 2021/2022:

Time: Wednesday 10:00 – 11:25

First lecture: September 8


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. 075-15-2019-1614).

RSS: Forthcoming seminars

Seminar organizer
Holevo Alexander Semenovich

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, Moscow, September 8–December 29, 2021

October 27, 2021 (Wed)
1. Lecture 8. Mathematical foundations of quantum information science I
A. S. Holevo
October 27, 2021 10:00, Moscow, online via Zoom

October 20, 2021 (Wed)
2. Lecture 7. Mathematical foundations of quantum information science I
A. S. Holevo
October 20, 2021 10:00, Moscow, online via Zoom
  

October 13, 2021 (Wed)
3. Lecture 6. Mathematical foundations of quantum information science I
A. S. Holevo
October 13, 2021 10:00, Moscow, online via Zoom
  

October 6, 2021 (Wed)
4. Lecture 5. Mathematical foundations of quantum information science I
A. S. Holevo
October 6, 2021 10:00, Moscow, online via Zoom

September 29, 2021 (Wed)
5. Lecture 4. Mathematical foundations of quantum information science I
A. S. Holevo
September 29, 2021 10:00, Moscow, online via Zoom
A. S. Holevo
  

September 22, 2021 (Wed)
6. Lecture 3. Mathematical foundations of quantum information science I
A. S. Holevo
September 22, 2021 10:00, Moscow, online via Zoom
A. S. Holevo
  

September 15, 2021 (Wed)
7. Lecture 2. Mathematical foundations of quantum information science I
A. S. Holevo
September 15, 2021 10:00, Moscow, online via Zoom
A. S. Holevo
  

September 8, 2021 (Wed)
8. Lecture 1. Operators in Hilbert space
A. S. Holevo
September 8, 2021 10:00, Moscow, online via Zoom
A. S. Holevo
  
 
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