SubjectsSubjects(version: 861)
Course, academic year 2019/2020
Quantum Probability Theory - NMTP578
Title: Teorie kvantové pravděpodobnosti
Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
Faculty: Faculty of Mathematics and Physics
Actual: from 2019 to 2019
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: Dr. Jan Swart
Class: M Mgr. PMSE
M Mgr. PMSE > Volitelné
Classification: Mathematics > Probability and Statistics
Annotation -
Last update: T_KPMS (16.05.2013)
Introduction to quantum probability theory, which is a noncommutative extension of probability theory. After a review of the basic concepts (events, random variables, product spaces) in the new set-up, the course turns its attention to the interpretation of quantum mechanics, as well as typical quantum effects such as quantum teleportation, quantum cryptography, etc. The course is meant for students in mathematics with an interest in probability, as well as students in physics with an interest in rigorous mathematics.
Aim of the course -
Last update: T_KPMS (16.05.2013)

A first introduction to quantum probability .

Course completion requirements -
Last update: RNDr. Jitka Zichová, Dr. (29.10.2019)

Written exam.

Literature - Czech
Last update: Dr. Jan Swart (11.02.2020)


J.M. Swart: Lecture Notes Elementary Quantum Probability.


H. Maassen: Lecture Notes Quantum Probability Theory.

R. Werner: Quantum Information Theory - an Invitation.

Teaching methods -
Last update: T_KPMS (16.05.2013)


Requirements to the exam -
Last update: Dr. Jan Swart (16.05.2019)

Written exam. Use of the Lecture Notes during the exam is allowed.

Syllabus -
Last update: T_KPMS (16.05.2013)

C*-algebras (mainly finite dimensional). Events, random variables and

product spaces in quantum theory. The interpretation of quantum

probability. Representations of algebras. Completely positive

maps. Paradoxes of quantum mechanics. Quantum teleportation. Quantum


Entry requirements -
Last update: Dr. Jan Swart (16.05.2019)

Basic linear algebra, complex numbers.

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