Quantum Informatics and Quantum Algorithms Theory
Language of the course: English
Students will learn numerical methods for modeling problems in quantum optics and information theory; methods of theoretical physics for solving problems of quantum information; methods of simulating quantum simulators, current trends, achievements and directions of research of quantum technologies in relation to the problems of creating systems for quantum information processing; fundamental differences and limitations between the classical and quantum states of the light field; the main approaches and models for the theoretical description of the phenomena of quantum optics and quantum information; the scope of applicability of the basic laws of quantum optics and computer science; methods for constructing models of quantum simulators for various problems of quantum technologies; fundamentals of the non-relativistic quantum theory of light and the interaction of light with matter; formulation of problems of quantum optics and quantum information.
Students will learn to identify quantum characteristics and quantum limits in the interaction of radiation with matter, also described at the quantum level; possession of the theoretical apparatus of quantum physics as applied to problems of quantum optics, the use of the laws of quantum physics for information processing problems of quantum micro- and nano-systems; independent work on a computer in the MATLAB environment, as well as modern operating systems and the most common application programs.
Students will master the skills of analyzing basic optical phenomena from the point of view of the fundamental laws of quantum mechanics; solving problems of quantum information; presentation of results in the form of graphs, as well as in programs like Microsoft PowerPoint, working with literature of theoretical and experimental content on quantum technologies and related disciplines of field theory, information theory; understanding and presenting the information received, as well as the correct presentation and interpretation of the results of physical research.
The main topics of the course are:
- Mathematical foundations of quantum information
- Theory of complexity of quantum algorithms
- Quantum computing
- Physical sources of quantum information and communication channels
- Entangled states as a quantum information resource
- Basic quantum information processing algorithms
- Quantum cryptography
- Quantum metrology
- Quantum algorithms for systems with a large number of particles
- Modern market for quantum technologies
Lectures and lab sessions