Quantum Optics, Metrology, Sensing and Imaging

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Applied Mathematics

Synopsis:

Students are given an introduction to the quantum theory of light and related fundamental principles with an emphasis on practical aspects. They acquire the theoretical and experimental foundations for the development of specifically quantum mechanical approaches to metrology and imaging in quantum computing and communications. Specific problems discussed include elementary processes with photons (absorption, emission, stimulated emission), interference, entanglement, non-classical phenomena with photons, methods of suppressing optical aberrations and dispersion. The various techniques are explained theoretically and also using experiments that demonstrate these principles in practice.

Requirements:

Syllabus of lectures:

1. Introduction to quantum optics.

2. Elementary quantum optical processes.

3. Quantum entanglement, correlation, detection and quantification.

4. Linear and non-linear optical elements.

5. Classical and quantum interferometry.

6. Aberration and dispersion suppression.

7. Color and polarization vision dispersion.

8. Quantum metrology, calibration sources and detectors.

9. Quantum optical coherence tomography, frequency, phase measurement and other applications.

10. Quantum imaging (two-photon imaging, ghost imaging).

11. Computational and compressed sensing.

12. Aberration suppression in quantum imaging.

13. Quantum holography, quantum microscopy, quantum radars, applications.

Syllabus of tutorials:

1. Photon Properties, Blackbody Radiation, and the Photoelectric Effect

2. Elementary Quantum-Optical Processes

3. Beam Splitters, Quantum Light Detection, Interferometry

4. Classical and Quantum Correlations

5. Nonlinear Optical Elements, Photon Pairs, the Hong-Ou-Mandel Effect

6. Aberration Suppression in Interferometry

7. Classical and Quantum Measurement of Polarization-Mode Dispersion

8. Quantum Ellipsometry

9. Quantum Optical Coherence Tomography

10. Classical and Quantum Ghost Imaging

11. Compressed Sensing in Quantum Imaging

12. Correlated Photon Counting

13. Classical and Quantum Holography, Quantum Radar

Study Objective:

Students are given an introduction to the quantum theory of light and related fundamental principles with an emphasis on practical aspects. They acquire the theoretical and experimental foundations for the development of specifically quantum mechanical approaches to metrology and imaging in quantum computing and communications. Specific problems discussed include elementary processes with photons (absorption, emission, stimulated emission), interference, entanglement, non-classical phenomena with photons, methods of suppressing optical aberrations and dispersion. The various techniques are explained theoretically and also using experiments that demonstrate these principles in practice.

Study materials:

1. Shih, Y.: An Introduction to Quantum Optics: Photon and Biphoton Physics

Taylor & Francis 2020

ISBM 9781003130604, https://doi.org/10.1201/9781003130604

2. Simon, D. S., Jaeger G., Sergienko, A. V.: Quantum Metrology, Imaging, and Communication

Springer 2017

ISBM 9783319465494

3. Djordjevic, I. B.: Quantum Communication, Quantum Networks, and Quantum Sensing

Elsevier 2022

ISBM 9780128229422

4. Paul, H.: Introduction to quantum optics: from light quanta to quantum teleportation

Cambridge University Press 2004

ISBM 9780511616754

Note:

The course is presented in English.

Further information:

https://moodle.fel.cvut.cz/course/view.php?id=8704

No time-table has been prepared for this course

The course is a part of the following study plans: