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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 2024
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:	taught
Language:	Czech, English
Teaching methods:	full-time

Guarantor:	Dr. Jan Swart
Teacher(s):	Dr. Jan Swart
Class:	M Mgr. PMSE M Mgr. PMSE > Volitelné
Classification:	Mathematics > Probability and Statistics
Is interchangeable with:	NSTP187

Opinion survey results Examination dates SS schedule Noticeboard

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 (16.05.2013)

Aim of the course -

A first introduction to quantum probability .

Last update: T_KPMS (16.05.2013)

Course completion requirements -

Written exam.

Last update: Zichová Jitka, RNDr., Dr. (29.10.2019)

Literature - Czech

Základní:

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

http://staff.utia.cas.cz/swart/cztea_index.html

Doporučená:

H. Maassen: Lecture Notes Quantum Probability Theory.

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

R. Werner: Quantum Information Theory - an Invitation.

https://arxiv.org/abs/quant-ph/0101061

Last update: Swart Jan, Dr. (11.02.2020)

Teaching methods -

Lecture.

Last update: T_KPMS (16.05.2013)

Requirements to the exam -

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

Last update: Swart Jan, Dr. (16.05.2019)

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 (16.05.2013)

Entry requirements -

Basic linear algebra, complex numbers.

Last update: Swart Jan, Dr. (16.05.2019)