Course by A. S. Trushechkin and D. A. Kronberg "Mathematical foundations of quantum cryptography" September 8–December 22, 2020, Steklov Mathematical Institute, Room. 213 (8 Gubkina)
Quantum cryptography is a modern branch of science where methods of secure
communication based on principles of quantum mechanics are studied. Unlike traditional
cryptography, in which this problem is solved by means of mathematical transformations
of the information, quantum cryptography is based on impossibility (in general) of reading
of the information from a quantum information carrier without introducing a noise into it.
This makes it possible to detect the fact of eavesdropping before the secure message is
transmitted.
Despite the simplicity of this principle, the rigorous proof of the security of quantum
cryptography (more precisely, quantum key distribution) requires a complex and beautiful
mathematical theory, which is based on theory of discrimination of quantum states, theory
of quantum entanglement, theory of quantum error correction (in particular, the
fundamental role is played by the socalled phase errors, which are nonclassical), quantum
entropic measures, in particular entropic uncertainty relations. The aim of this course is to
get knowledge to participants about these methods.
Knowledge of mathematical analysis, linear algebra, probability theory is required.
Knowledge of quantum mechanics is optional.
The course does not aim at acquaintance with all variety of modern directions in
quantum cryptography: with various protocols, problems of practical implementations, etc.
The course is restricted to the most widely used (and historically the first) quantum key
distribution BB84 protocol (including cases of imperfect devices), but these methods are
also applicable to security analysis of other protocols.
After the course, the students will understand the basic methods of security analysis
if quantum key distribution protocols, will be able to apply these methods and will
understand modern papers devoted to these issues.
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).
Program
RSS: Forthcoming seminars
Lecturers
Kronberg Dmitry Anatolevich
Trushechkin Anton Sergeevich
Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow Steklov International Mathematical Center 

Course by A. S. Trushechkin and D. A. Kronberg "Mathematical foundations of quantum cryptography", September 8–December 22, 2020 


December 22, 2020 (Tue) 

1. 
Lecture 16. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg December 22, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






December 15, 2020 (Tue) 

2. 
Lecture 15. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg December 15, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






December 8, 2020 (Tue) 

3. 
Lecture 14. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg December 8, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






December 1, 2020 (Tue) 

4. 
Lecture 13. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg December 1, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






November 24, 2020 (Tue) 

5. 
Lecture 12. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg November 24, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






November 17, 2020 (Tue) 

6. 
Lecture 11. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg November 17, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






November 10, 2020 (Tue) 

7. 
Lecture 10. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg November 10, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






November 3, 2020 (Tue) 

8. 
Lecture 9. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg November 3, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






October 27, 2020 (Tue) 

9. 
Lecture 8. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg October 27, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






October 20, 2020 (Tue) 

10. 
Lecture 7. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg October 20, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






October 13, 2020 (Tue) 

11. 
Lecture 6. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg October 13, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






October 6, 2020 (Tue) 

12. 
Lecture 5. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg October 6, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






September 29, 2020 (Tue) 

13. 
Lecture 4. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg September 29, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






September 22, 2020 (Tue) 

14. 
Lecture 3. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg September 22, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






September 15, 2020 (Tue) 

15. 
Lecture 2. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg September 15, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)






September 8, 2020 (Tue) 

16. 
Lecture 1. Mathematical foundations of quantum cryptography A. S. Trushechkin, D. A. Kronberg September 8, 2020 18:00, Steklov Mathematical Institute, Room. 213 (8 Gubkina)





