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Quantum Information - PhD course
Provider: Faculty of Science

Activity no.: 5854-21-11-31 
Enrollment deadline: 26/04/2021
PlaceNiels Bohr Institute
Date and time26.04.2021, at: 00:00 - 27.06.2021, at: 16:00
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 requirementsSee Learning Outcome
Exam formOral examination, 30 minutes
Exam detailsWithout preparation time
Grading scalePassed / Not passed
Censorship formA number of internal examiners
Exam re-examinationAs the ordinary exam
Course workload
Course workload categoryHours
Lectures26.00
Theory exercises26.00
Exam0.50
Preparation153.50
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).

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 we 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:

This course is primarily for students at University of Copenhagen and other universities in Denmark. If you wish to participate in this course but you are outside of DK, please send an email to the course responsible or the contact person to find out if you may be allowed to participate. Do NOT use the online application, as it will be voided. 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 for both discrete and continuous variables and sketch the general principles behind their experimental implementations.
- explain Bell's inequalities the 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 photons and trapped ions.

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
Restricted elective for specialisation "Quantum Physics".

Academic qualifications:
It is an advantage if you followed 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 assumed that you have a good background in quantum mechanics, e.g., through following the physics curriculum on the first three years or similar. Also it may be an advantage if you have followed the course on Optical Physics and Lasers but it is not strictly necessary.

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