Quantum Probability Theory - NSTP187
Title: Teorie kvantové pravděpodobnosti
Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Guarantor: Dr. Jan Swart
Class: DS, pravděpodobnost a matematická statistika
Classification: Mathematics > Probability and Statistics
Interchangeability : NMTP578
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Annotation -
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.
Last update: T_KPMS (04.04.2008)
Aim of the course -

A first introduction to quantum probability .

Last update: T_KPMS (19.05.2008)
Literature - Czech

Základní:

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

http://staff.utia.cas.cz/swart/dict.pdf

Doporučená:

H. Maassen: Lecture Notes Quantum Probability Theory.

http://www.math.ru.nl/~maassen/lectures/qp.ps

R. Werner: Lecture Notes on Quantum Information.

http://www.imaph.tu-bs.de/qi/lecture/front.html

Last update: T_KPMS (04.04.2008)
Teaching methods -

Lecture.

Last update: G_M (28.05.2008)
Syllabus -

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

cryptography.

Last update: T_KPMS (04.04.2008)