Palacký University Olomouc
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for academic year 2024/2025
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Course: Quantum Aspects of Measurement

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Course title Quantum Aspects of Measurement
Course code OPT/QAM
Organizational form of instruction Lecture
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Hradil Zdeněk, prof. RNDr. CSc.
Course content
-Quantum theory of measurement, basic principles of the quantum theory, probability operator measure (POM) -Uncertainty principles, present measurement of non-commutating quantities, Heisenberg microscope -Measurements in the quantum optics - measurement of a number of photons, homodyne and heterodyne detection, non-classical states of light -Interference of a photon with itself, correlation of higher orders -Problem of phase operator, measurement of phase shift, quantum interferometry and super-accurate measurements -Measurement and quantum theory of an estimate -Quantum tomography and reconstruction of the quantum state

Learning activities and teaching methods
Lecture
Learning outcomes
Quantum theory of measurement, basic principles of the quantum theory, probability operator measure (POM)
Knowledge Define the main ideas and conceptions of the subject, describe the main approaches of the studied topics, recall the theoretical knowledge for solution of model problems.
Prerequisites
Course of quantum mechanics
OPT/KSO
----- or -----
OPT/QS1

Assessment methods and criteria
Mark

Knowledge within the scope of the course topics (examination)
Recommended literature
  • Časopisecká literatura dle doporučení přednášejícího.
  • Badurek, G.; Hradil, Z.; Lvovsky, A.; Molina-Terriza, G.; Rauch, H.; Řeháček, J.; Vaziri, A.; Zawisky, M. Maximum Likelihood Estimation in Experimental Quantum Physics, in Quantum State Estimation. Lecture Notes in Physics (ed. M.G.A. Paris, J. Rehacek), 373-414, Springer, 2004.
  • Caves, C.M. Phys. Rev. A 26, 1982, 1817.
  • Caves, C.M. Phys. Rev. D 23, 1981, 1693.
  • Hradil, Z,; Řeháček, J.; Fiurášek, J.; Ježek, M. Maximum Likelihood Methods in Quantum Mechanics. in Quantum State Estimation, Lecture Notes in Physics (ed. M.G.A. Paris, J. Rehacek), 59-112, Spring.
  • Loudon, R. (1973). The Quantum Theory of Light. Oxford University Press.
  • Peřina, J. (1985). Coherence of Light. Reidel, Dordrecht.
  • Peřina, J. (1991). Quantum Statistics of Linear and Nonlinear Optical Phenomena. Kluwer, Dordrecht.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): General Physics and Mathematical Physics (2019) Category: Physics courses 2 Recommended year of study:2, Recommended semester: Winter
Palacký University Olomouc, date of update: 30.04.2025 23:58. Data created for academic year 2024/2025