Infopaket

Modern problems of quantum information and quantum optics

ОК2

Обов’язкова дисципліна для ОП

Second

2023/2024

1 Semester

3

The study result consists in mastering several topics of modern quantum optics and quantum-information theory: quantum entanglement, Bell nonlocality, coding of quantum information by discrete and continuous variables, quantum circuits, quantum communication. As a result the students will be able to analyze purity of qubit states, to apply the Peres-Horodecki criteria, the Duan-Gidke-Cirac-Zoller criteria, and the Simon criteria for entanglement verification, to analyze Bell nonlocality of quantum states, to analyze efficiency of quantum teleportation and entanglement swapping protocols for different conditions, calculate quantum-key rate for different protocols of quantum key distribution.

Full-time form

To be familiar with basic principles of quantum mechanics, electrodynamics, quantum mechanics, thermodynamics, statistical physics, probability theory, mathematical statistics, linear algebra, quantum optics including quantum phase-space representation theory of quantum optical measurements (photodetection, homodyne and heterodyne detection). To be able to apply skills and knowledge from the courses of analysis, probability theory, quantum mechanics and quantum optics for evaluation of phase-space quaziprobability distributions for typical quantum states of optical fields. To have skills of experimental quantum-optical scheme analysis

The Lecture course “Modern problems of quantum information and quantum optics” is a part of the educational program “Master of Physics”. This lecture course aims to introduce students to basic principles of this field of research such as nonclassical correlations, incl. quantum entanglement and Bell nonlocality, quantum information for discrete and continuous variables, fundamentals of quantum algorithms, quantum teleportation, and quantum key distribution.

1. W. Vogel and D.-G. Welsch, Quantum Optics, (Wiley VCH, Berlin, 2006). 2. W.P. Schleich, Quantum optics in phase space, (Wiley WCH, Berlin, 2001). 3. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, (Cambridge University Press, Cambridge, 2010). 4. A. Perelomov, Generalized coherent states and their applications, (Springer, Berlin, 1986). 5. G. Adesso, S. Ragy, and A. R. Lee, Continuous Variable Quantum Information: Gaussian States and Beyond, Open Syst. Inf. Dyn. 21, 1440001 (2014); see also arXiv:1401.4679 [quant-ph]. 6. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Quantum entanglement, Rev. Mod. Phys. 81, 865 (2009); see also arXiv:quant-ph/0702225. 7. N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, Bell Nonlocality, Rev. Mod. Phys. 86, 419 (2014); see also arXiv:1303.2849 [quant-ph].

Lectures – 90 hours Independent work – 60 hours

The lecture course consists of two study modules. The evaluation system includes the routine evaluation and the semester evaluation. Forms of the evaluation: oral answers, homeworks, and quizzes. Each student may get up to 60 points for the semester evaluation and up to 40 points for the exam. The final evaluation is organized in the form of an exam (40 points). Each student gets two theoretical questions (20 points) and a task to solve (20 points). Students who got less than 36 points during the semester evaluation are not allowed to pass the exam. The examination mark cannot be less than 24 points.

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