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Quantum cryptography - course RUB 12,160. from Open education, training 18 weeks, about 7 hours per week, date of November 28, 2023.
Miscellaneous / / November 29, 2023
The course "Quantum Cryptography" is the first part of the course, which is dedicated to the modern and rapidly developing field of science and technology - quantum cryptography. The origins of classical cryptography go back to the deep past; it is one of the oldest sciences, the history of which goes back several thousand years. Compared to this enormous period, quantum cryptography was born literally before our eyes. It is based on an idea that was first proposed just a few decades ago, and is the use of quantum objects for protecting information from forgery and unauthorized access, which allows you to create almost absolute protection of encrypted data from hacking.
This course will cover basic quantum key distribution protocols; basic fundamental principles of operation and design of modern systems for quantum distribution of cryptographic keys, conceptual and mathematical a device used to prove the strength of quantum cryptography systems, both in the fiber optic version and working through open space; various types of attacks on such systems, as well as methods to counter them. We will look at the fundamental differences and new possibilities compared to classical key distribution methods.
Currently, Moscow University is one of the leading centers of national education, science and culture. Raising the level of highly qualified personnel, searching for scientific truth, focusing on humanistic ideals of goodness, justice, freedom - this is what we see today as following the best university traditions Moscow State University is the largest classical university in the Russian Federation, a particularly valuable object of cultural heritage of the peoples of Russia. It trains students in 39 faculties in 128 areas and specialties, graduate students and doctoral students in 28 faculties in 18 branches of science and 168 scientific specialties, which cover almost the entire spectrum of modern university education. Currently, more than 40 thousand students, graduate students, doctoral students, as well as specialists in the advanced training system are studying at Moscow State University. In addition, about 10 thousand schoolchildren study at Moscow State University. Scientific work and teaching are carried out in museums, at educational and scientific practice bases, on expeditions, on research vessels, and in advanced training centers.
Professor, leading researcher at the Center for Quantum Technologies, Faculty of Physics, Moscow State University named after M.V. Lomonosov
Position: Professor, Department of Supercomputers and Quantum Information Science, Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
Lecture 1. Introductory lecture. A brief excursion into the history of cryptography. What is quantum cryptography and what problems does it solve? Disposable keys. Shannon's criterion of absolute secrecy. Current advances in quantum cryptography.
Lecture 2-3. Fundamentals of the mathematical apparatus of quantum information science. Description of quantum states of individual and composite quantum systems, pure, mixed states, quantum entanglement, orthogonal and generalized measurements, purification of quantum states, the no-copy theorem, transformations of quantum systems, completely positive display.
Lecture 4-5. Measures of proximity of quantum states used in quantum cryptography protocols.
Lecture 6. The theorem on the impossibility of copying and the quantum teleportation protocol.
Lecture 7. Quantum key distribution protocols. Basic protocols for quantum key distribution: BB84, B92, E91, SARG04, phase-time coding, differential phase coding.
Lecture 8. Coherent states and their transformations by optical elements.
Lecture 9-10. Fiber implementations of quantum cryptography systems
Lecture 11. An informal introduction to classical information theory. Relativistic quantum key distribution through open space with and without clock synchronization on the receiving and transmitting sides.
Lecture 12-13. Fundamentals of the mathematical apparatus of classical theory and information. Shannon and Renyi entropies and their properties. Conditional, mutual information, typical sequences,
Lecture 14-15. Shannon's coding theorem. Source coding theorems, forward and inverse coding theorems for a noisy channel, capacity.
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27/12/2019