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Course, academic year 2019/2020
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Quantum Probability Theory - NMTP578
Title in English: Teorie kvantové pravděpodobnosti
Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
Faculty: Faculty of Mathematics and Physics
Actual: from 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 .

Literature - Czech
Last update: T_KPMS (16.05.2013)

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

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.

 
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