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Quantum Information PhD course
Provider: Faculty of Science

Activity no.: 5854-22-11-31
Enrollment deadline: 05/09/2022
Date and time05.09.2022, at: 00:00 - 13.11.2022, at: 00:00
Regular seats
ECTS credits7.50
Contact personAiga Voite    E-mail address: aiga.voite@nbi.ku.dk
Enrolment Handling/Course OrganiserAnders Søndberg Sørensen    E-mail address: anders.sorensen@nbi.ku.dk
Written languageEnglish
Teaching languageEnglish
Semester/BlockBlock 1
Scheme groupA (Tues 8-12 + Thurs 8-17)
Exam formOral examination
Exam detailsWithout preparation time
Grading scale7 point grading scale
Censorship formA number of 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 what is allowed by classical physics. The course will give an introduction to quantum information as well as to some of the physical systems used to implement quantum information processing. 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 with 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.
  • 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 ion traps and superconducting qubits.
  • 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 physical 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 information, e.g. in a M.Sc. project

Literature
Various notes and articles.

Teaching and learning methods
Lectures and exercises.

Remarks

Sign up:

This course is offered to both MSc students and PhD students.

PhD students should apply as credit students, using this form. The course code to enter is: NFYK13005U

MSc students should apply via kurser.ku.dk 

Please contact Julie Meier Hansen juliemh@ku.dk if you have any questions or problems.


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