Introduction to Quantum Information Theory
Module MA5105
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 workload | Contact hours | Credits (ECTS) |
|---|---|---|
| 270 h | 90 h | 9 CP |
Content, Learning Outcome and Preconditions
Content
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.
Preconditions
MA1101 Linear Algebra 1, MA1102 Linear Algebra 2 und MA1001 Analysis 1;
Recommended: MA2409 Probability Theory;
Quantum mechanics are not necessary.
Recommended: MA2409 Probability Theory;
Quantum mechanics are not necessary.
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
| Type | SWS | Title | Lecturer(s) | Dates | Links |
|---|---|---|---|---|---|
| VO | 4 | Introduction to Quantum Information Theory |
documents |
||
| UE | 2 | Introduction to Quantum Information Theory (Exercise Session) |
Learning and Teaching Methods
Vorlesung, Übung, Übungsaufgaben zum Selbststudium; Vorrechnen von Hausaufgaben
Media
Tafelvortrag, Übungsblätter
Literature
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
M. Keyl, Fundamentals of Quantum Information Theory, Phys. Rep. 369, 431-548 (2002), quant-ph/0202122