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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 2020
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:	not taught
Language:	Czech, English
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	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 Schedule Noticeboard

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)

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

Teaching methods -

Last update: T_KPMS (16.05.2013)

Lecture.

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

cryptography.

Entry requirements -

Last update: Dr. Jan Swart (16.05.2019)

Basic linear algebra, complex numbers.