# NFYK13005U Quantum Information

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 one implements 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 the general requirement 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 the basics of entanglement theory and relate it to the violation of Bell's inequalities
- discuss how decoherence and imperfections appear and influence the 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

The course will discuss some of the quantum information protocols,
which performs certain tasks, that are classically impossible. At
the same time we discuss how scientists realize these ideas in the
lab. The quantum information topics, which will be covered, include
quantum computation, entanglement, quantum cryptography,
teleportation, quantum memory, and quantum measurements. We will
mainly discuss implementations in ion traps, photons, and atomic
ensembles, but liquid Nuclear Magnetic Resonance and solid state
systems might also be discussed briefly.

Competences

This course will provide a deeper understading of the quantum
mechanics learned in previous courses, and how to use this for e.g.
computation, measurements and communication.. It will also
provide the students with a competent background for further
studies within this research field, e.g. an M.Sc.
project

As an exchange, guest and credit student - click here!

Continuing Education - click here!

- Credit
- 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

##### Criteria for exam assesment

The grade 2 is given for the least acceptable fulfillment of the above goal.

- Category
- Hours
- Lectures
- 26
- Theory exercises
- 26
- Exam
- 0,5
- Preparation
- 153,5
- Total
- 206,0

### Course information

- Language
- English
- Course code
- NFYK13005U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 4Offered every second year, odd study years (2013/14)
- Schedule
- B
- Course capacity
- No restriction to number of participants
- Continuing and further education
- Study board
- Study Board of Physics, Chemistry and Nanoscience

##### Contracting department

- The Niels Bohr Institute

##### Course responsibles

- Anders Søndberg Sørensen (15-6471676875763176727568717668714371656c316e7831676e)

Phone 35 32 52 40, Mobile 24 66 13 77