Course: Statistical Methods in Physics

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Course title Statistical Methods in Physics
Course code OPT/SMF
Organizational form of instruction Lecture + Exercise
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory, Compulsory-optional
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.
  • Řeháček Jaroslav, prof. Mgr. Ph.D.
Course content
unspecified

Learning activities and teaching methods
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook)
Learning outcomes
To acquire and actively apply the statistical methods required for the processing and interpretation of quantum measurements, including quantum estimation and decision theory, quantum tomography, and Fisher information.
Ability to apply advanced statistical methods to the processing and interpretation of data.
Prerequisites
unspecified

Assessment methods and criteria
Mark, Oral exam

Knowledge of theoretical probability distributions, including the multinomial, Poisson, Gaussian, chi-squared, and Student's t-distributions; knowledge of methods of quantum estimation theory and Fisher information, quantum tomography, and basic optimization problems.
Recommended literature
  • Frieden, B. (1983). Probability, statistical optics and data testing. New York.
  • Helstrom, C. W. (1976). Quantum detection and estimation theory.
  • Paris, M. G. A., Řeháček, J. (2004). Quantum state estimation.
  • R. Barlow. (1993). Statistics: A Guide to the Use of Statistical Methods in the Physical Sciences. New York.


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 (2026) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Optics and Optoelectronics (2021) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Digital and Instrument Optics (2019) Category: Physics courses 2 Recommended year of study:2, Recommended semester: Summer