NFYK13005U Quantum Information
MSc Programme in Physics
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.
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.
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.
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
Various notes and articles.
- 7,5 ECTS
- Type of assessment
- Oral examination, 30 minWithout preparation time
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
More internal examiners
as the ordinary exam.
Criteria for exam assesment
The grade 12 is given to student who clearly demonstrates that
the above goals are fulfilled with no or only very minor
The grade 2 is given for the least acceptable fulfillment of the above goal.
- Theory exercises