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Quantum Information - PhD course
Provider: Faculty of Science

Activity no.: 5854-21-11-33
Enrollment deadline: 06/08/2021
Date and time06.09.2021, at: 08:00 - 12.11.2021, at: 16:00
Regular seats20
ECTS credits7.50
Contact personJulie Meier Hansen    E-mail address: juliemh@nbi.ku.dk
Enrolment Handling/Course OrganiserAnders Søndberg Sørensen    E-mail address: anders.sorensen@nbi.ku.dk
Written languageEnglish
Teaching languageEnglish
Semester/BlockBlock 1
Scheme groupA (Tues 8-12 + Thurs 8-17)
Exam formOral examination, 30 minutes
Exam detailsWithout preparation time
Grading scalePassed / Not passed
Censorship formNo external censorship More internal examiners
Exam re-examinationAs the ordinary exam
Course workload
Course workload categoryHours
Theory exercises39.00


Quantum Information aims at exploiting quantum mechanics to perform certain tasks (computation, measurements, communication, etc.) more efficiently than what is allowed by classical physics. The course will give an introduction to quantum information as well as to some of the physical systems used to implement quantum information processing. Special attention will be on quantum optical systems (atoms, ions, and photons) and superconducting systems.
In the course we will be dealing with the fundamental and often paradoxical structure of quantum mechanics. By working with these subjects, the participants will not only be brought up to date with a very active field of research, but will also gain a deeper understanding of quantum mechanics.

Learning outcome

After the course the students should be able to explain how the various quantum information protocols work and why they are better than any classical protocol. Furthermore the students should be able to describe how to implement quantum information protocols in practice and discuss some of the problems, which arise when one tries to do so.

More specifically the students should be able to:
•describe how the BB84 quantum cryptography protocol works and how it is implemented in practice.
•define entanglement for pure states, and describe how to use it for super dense coding, cryptography, and teleportation.
•explain how entanglement may be generated experimentally.
•explain what a quantum computer is and describe how the Deutsch and Grover algorithms and quantum simulation work on a quantum computer.
•discuss general requirements for practical implementation of quantum computation and describe how these requirements are fulfilled for ion traps and superconducting qubits.
•explain Bell's inequalities and their violation in quantum mechanics
•discuss how decoherence and imperfections appear and influence experiments and know how to describe it in terms of the density matrix.
•relate the various parts of the course together and apply the knowledge gained in the course in new situations.


After the course students should know the elementary concept from quantum information theory including qubits, pure and mixed states, Bloch sphere, entanglement, super dense coding, teleportation, quantum repeaters, Bell’s inequalities, entanglement purification, quantum error correction, and quantum computation algorithms (Deutsch, Grover, and quantum simulation). Furthermore they should know how one can implement quantum information processing in simple physical systems such as trapped ions and super conducting qubits.

The student will learn how the different logical structure of quantum mechanics, compared to classical mechanics, enables new possibilities for e.g. computation, measurements, and communication. Thereby the course will provide a deeper understanding of the quantum mechanics learned in previous courses. It will also provide the students with a background for further studies within quantum information, e.g. in a M.Sc. project

Various notes and articles.

Target group

This course is offered to MSc and PhD students. Complete course description and sign-up for MSc students >> here.

PhD students please see below for information on signing up.

Teaching and learning methods
Lectures and exercises.


Sign up:

PhD students should sign up via credit student application >>here.

The course code to enter is NFYK13005U 

Please contact Julie Meier Hansen if you have any questions or problems with sign-up. 


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