Kursussøgning, efter- og videreuddannelse – Københavns Universitet

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Kursussøgning, efter- og videreuddannelse

Quantum Information

Practical information
Study year 2016/2017
Time
Block 4
Offered every year
Programme level Full Degree Master
ECTS 7,5 ECTS
Course responsible
  • Anders Søndberg Sørensen (15-6b786e6f7c7d387d797c6f787d6f784a786c7338757f386e75)
Anders Sørensen, anders.sorensen@nbi.dk
Phone 35 32 52 40, Mobile 24 66 13 77
  • The Niels Bohr Institute
Course number: NFYK13005U

Course 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.

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 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 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

Recommended prerequisites

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 quantum mechanics 3 course or something 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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Education

M.Sc. Programme in Physics

Studyboard

Study Board of Physics, Chemistry and Nanoscience

Course type

Single subject courses (day)

Duration

1 block

Schedulegroup

B
---- SKEMA LINK ----

Teaching and learning methods

Lectures and exercises

Capacity

No restriction to number of participants

Language

English

Literature

Various notes and articles.

Workload

Category Hours
Lectures 26
Theory exercises 39
Exam 0,5
Preparation 140,5
English 206,0

Exam

Type of assessment

Oral examination, 30 min
Without preparation time

Marking scale

7-point grading scale

Criteria for exam assessment

The grade 12 is given to student who clearly demonstrates that the above goals are fulfilled with no or only very minor exceptions.

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

Censorship form

No external censorship
More internal examiners

Re-exam

as the ordinary exam.

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