QC802: Quantum Information Theory
The Study Board for Science
Teaching language: English
EKA: N310086102
Assessment: Second examiner: Internal
Grading: 7-point grading scale
Offered in: Odense
Offered in: Autumn
Level: Master
STADS ID (UVA): N310086101
ECTS value: 10
Date of Approval: 22-04-2025
Duration: 1 semester
Version: Archive
Entry requirements
Academic preconditions
Students following this course are expected to be acquainted with linear algebra and the basics of probability theory.
Course introduction
The overarching goal of quantum information theory is to study the capacity of quantum systems to reliably store and transmit information. This course's purpose is to give a thorough introduction to quantum information theory, which will also serve as a foundation for more advanced courses. Elements of quantum information theory are used in the theory of fault-tolerant quantum computing, quantum cryptography and are central in current research endeavors aimed at developing
a quantum internet.
Quantum information theory is a generalization of classical information theory as developed by Shannon in the twentieth century. In this course we will include elements of classical information theory, and we will study how quantum phenomena can be used as a resource, setting quantum information protocols apart from classical information protocols.
Expected learning outcome
The learning objective of the course is that the student demonstrates at the exam mastery of
- Basic concepts and terminology introduced in the course.
- Foundational results and principles of quantum information theory.
- Key differences between classical information theory and quantum information theory.
- Implementation of selected quantum information protocols on a quantum computer.
Content
This course will cover a selection of the following topics
- Elements of classical information theory,
- The density operator formalism for noisy quantum theory and purification,
- Foundational concepts from quantum Shannon theory including; resources, quantum channels, entropy,
- Foundational quantum information protocols and their implementation on quantum computers,
- Resource inequalities, the quantum capacity theorem, and trade-off analysis
Literature
Watrous, John (2018). The Theory of Quantum Information. Cambridge University Press.
Wilde, Mark M. (2017). Quantum information theory. Second. Cambridge University Press, Cambridge, pp. xvii+757. isbn:
978-1-107-17616-4.
Examination regulations
Exam element a)
Timing
Autumn and January
Tests
Portfolio
EKA
N310086102
Assessment
Second examiner: Internal
Grading
7-point grading scale
Identification
Full name and SDU username
Language
English
Duration
Oral exam - 30 minutes + 30 minutes preparation
Examination aids
All common aids allowed during the preparation.Only notes prepared during the preparation time may be brought to the exam itself.
ECTS value
10
Additional information
Portfolio consisting of the following elements:
- A number of assignments handed in during the course.
- Final oral exam during the exam period
To achieve a passing grade overall, both elements 1 and 2 must individually meet the learning objectives.
The assessment of element 1 takes place in conjunction with the completion of element 2.
The grade is primarily based on element 2, but element 1 can raise or lower the grade by one grade
step.
Reexaminations are of the same format as the ordinary examinations. Submitted elements from the ordinary portfolio exam may be included in the reexam.
Indicative number of lessons
Teaching Method
Planned lessons:
Total number of planned lessons: 84
Hereof:
Common lessons in classroom/auditorium: 84
Each week there will be 4 hours of ordinary lectures, where the lecturer covers the syllabus, and 2 hours of exercise sessions, where the students will present homework solutions to problems announced during the course. In the first week, the weeks immediately before and after the fall-break as well as in the last week, the schedule might deviate slightly from this plan.
Other planned teaching activities:
The students will work on the weekly homework problems, and the students will work on the assignments for exam element 1.
Teacher responsible
| Name | Department | |
|---|---|---|
| Du Pei | dpei@imada.sdu.dk | Institut for Matematik og Datalogi |
| William Elbæk Mistegård | wem@imada.sdu.dk | Institut for Matematik og Datalogi |