Quantum optics 2 0800-PA-QUANTOPT2

The lecture will discuss the following topics:
1. Polarization states of single photons and their visualization on the Bloch sphere. The concept of qubit.
2. Passing of a single photon through basic optical elements.
3. Transformation of a quantum state of light through optical system.
4. Quantum measurement of a light state. Single-photon detectors.
5. Single-photon generation.
6. Basics of nonlinear optics. Spontaneous parametric down-conversion (SPDC) process.
7. Propagation of a laser light in free space and through basic optical elements.
8. Theoretical basics of quantum cryptography. BB84 protocol.
9. Implementation of the BB84 protocol in practice.
10. Quantum entanglement and its use in quantum cryptography. Bell inequalities.
11. Other quantum cryptographic protocols.
12. Quantum teleportation and entanglement swapping.
13. Quantum repeaters.

Total student workload

Contact hours with teacher: - participation in lectures - 30 hrs - participation in tutorials – 30 hrs - consultations- 5 hrs Self-study hours: - preparation for lectures -8 hrs - writing essays/ papers/ projects- 2 hrs - reading literature- 10 hrs - preparation for test- 20 hrs - preparation for examination- 20 hrs Altogether: 125 hrs (5 ECTS)

Learning outcomes - knowledge

W1: Student has advanced knowledge of physics corresponding to modern quantum information W2: Student knows basic quantum communication protocols W3: Student knows the methods of quantum states encoding W4: students has knowledge of quantum description and experimental realization of a parametric down conversion process (K_W02, K_W03, K_W05)

Learning outcomes - skills

U1 – The graduate is able to find relevant information in specialist literature including quantum communication and quantum information processing. U2 – Can present research findings (experimental, theoretical or numerical) in the written or oral form U3 – Can efficiently communicate both with specialists and non-specialists in terms of the topics relevant to the studied field of Physics or Astronomy (K_U05, K_U09, K_U10)

Learning outcomes - social competencies

K1 --The graduate knows the level of his or her knowledge and skills and is able to formulate questions adequately.

Expository teaching methods

- informative (conventional) lecture

Exploratory teaching methods

- practical

Type of course

compulsory course

Prerequisites

Compulsory: 1. Knowledge on the basics of quantum mechanics (fundamental postulates, Schrodinger equation, algebra of operators, Heisenberg uncertainty relation) 2. Knowledge on the basics of quantum optics (quantum description of the radiation field, Fock, coherent and squeezed states) – it is advised to complete the course of Quantum optics I or similar before this lecture Recommended: Knowledge on the basics of probability calculus.

Course coordinators

Term 2023/24L:

Piotr Kolenderski

Term 2024/25L:

Piotr Kolenderski

Term 2022/23L:

Piotr Kolenderski
Mikołaj Lasota

Term 2025/26L:

Piotr Kolenderski

Assessment criteria

Completion of classes is based on the performance in homework exercises. The lecture ends with written exam. The final grade depends on the scored percentage of points in the following way:
5 (excellent): 90% – 100% points
4+ (good +): 80% – 90% points
4 (good): 70% – 80% points
3+ (satisfactory +): 60% – 70% points
3 (satisfactory): 50% – 60% points
2 (unsatisfactory): below 50% points

Practical placement

Not applicable

Bibliography

1. C.C. Gerry, P. L. Knight, “Wstęp do optyki kwantowej”, Wydawnictwo Naukowe PWN, Warszawa, 2007
2. B. E. A. Saleh, M. C. Teich, “Fundamentals of photonics”, John Wiley & Sons Inc., Hoboken, New Jersey, 2019.
3. M. A. Nielsen, I. L. Chuang, “Quantum computation and quantum information”, Cambridge University Press, Cambridge, 2010.
4. R. W. Boyd, “Nonlinear optics”, Academic Press, London, 2020.

and several scientific articles, which will be mentioned during the lecture.

Additional information

Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system:

Description of 0800-PA-QUANTOPT2 in USOSweb