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Introduction to Quantum Information Theory

Module MA5105

This Module is offered by TUM Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

MA5105 is a semester module in English language at Master’s level which is offered irregular.

This module description is valid from WS 2011/2 to SS 2015.

Total workloadContact hoursCredits (ECTS)
270 h 90 h 9 CP

Content, Learning Outcome and Preconditions


Quantum information theory is a rediscussion of quantum theory in an information theoretical context and at the same time a generalization of classical information theory to the quantum world. This module provides an introduction to the mathematical and conceptual foundations of the theory, its applications and the most important quantitative questions. Subjects to be discussed include: states and effects, ordered vector spaces, tensor products, correlations and entanglement, Bell inequalities, channels, positivity and complete positivity, estimation theory, quantum cloning, quantum error correction, channel capacities, distillation of entanglement, and entanglement measures.

Learning Outcome

At the end of the module the students understand the mathematical formalism of quantum mechanics and the basic concepts quantum information theory. They are able to apply the mathematical tools to basic problems of quantum information theory and familiar with the possibilities and limitations of quantum mechanical information processing.


MA1101 Linear Algebra 1, MA1102 Linear Algebra 2 und MA1001 Analysis 1;
Recommended: MA2409 Probability Theory;
Quantum mechanics are not necessary.

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Learning and Teaching Methods

Vorlesung, Übung, Übungsaufgaben zum Selbststudium; Vorrechnen von Hausaufgaben


Tafelvortrag, Übungsblätter


M. A. Nielsen, I. L. Chuang, Quantum computation and quantum information, Cambridge University Press, 2000.
M. Keyl, Fundamentals of Quantum Information Theory, Phys. Rep. 369, 431-548 (2002), quant-ph/0202122

Module Exam

Description of exams and course work

Klausur oder mündliche Prüfung (abhängig von der Teilnehmerzahl)

Exam Repetition

The exam may be repeated at the end of the semester.

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