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Quantum Information - PhD course
Provider: Faculty of Science

Activity no.: 5854-20-11-31 
Enrollment deadline: 14/04/2020
Date and time20.04.2020, at: 00:00 - 21.06.2020, at: 00:00
Regular seats20
ECTS credits7.50
Contact personJulie Meier    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 4
Scheme groupB
Exam formOral examination, 30 minutes
Exam detailsWithout preparation time
Grading scale7 point grading scale
Criteria for exam assessmentSee learning outcome
Censorship formNo external censorship, more internal examiners
Exam re-examinationAs the ordinary exam
Course workload
Course workload categoryHours
Lectures26.00
Theory exercises39.00
Exam0.50
Preparation140.50
Sum206.00
Content
Quantum Information aims at exploiting quantum mechanics to perform certain tasks (computation, measurements, communication, etc.) more efficiently than it is allowed by classical physics. The course will give an introduction to quantum information, as well as to some of the physical systems where implementation of quantum information processing is being attempted. 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 on a very active field of research, but will also gain a deeper understanding of quantum mechanics.

Formel requirements

Important information for students outside of Denmark:
To apply for participation in this course, it is required that you send an email to the course organizer with your information and motivation for joining the course. Do not use the online application. Thank you.

Learning outcome
Skills
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 for photons, ions and atoms.
•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 an ion trap.
•explain the teleportation protocol and how it may be implemented experimentally.
•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.



Knowledge
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 experimental systems such as trapped ions and super conducting qubits.

Competences
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 optics or quantum information, e.g. in a M.Sc. project

Literature
Various notes and articles.

Teaching and learning methods
Lectures and exercises.

Remarks
It is an advantage if you followed the course "Quantum Optics", but not necessary.

It will be assumed that you have heard about the quantization of the electromagnetic field, either in the quantum optics course or some other course. It is also assumed that you have a good background in quantum mechanics, corresponding to the standard curriculum of a master’s education in physics.

It may be an advantage if you have followed the course "Optical Physics and Lasers", but it is not strictly necessary.

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