Mathematical foundations of quantum information science September 8–December 29, 2021, online via Zoom, Moscow
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. 0751520191614).
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






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






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






September 8, 2021 (Wed) 

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





