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FSK3906 Quantum Circuits 7.5 credits

The course is designed for Masters and PhD students who want to learn lumped-element analysis of quantum circuits and understand the basic concepts used in designing microwave quantum circuits.

Course offering missing for current semester as well as for previous and coming semesters
Headings with content from the Course syllabus FSK3906 (Autumn 2020–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Basic quantum transport theory: Landauer's formula and Landauer-Biittiker's formalism, coulomb-blocked and single-electron circuits. Basic superconducting electronics: The Josephson effect and classical non-linear dynamics af superconducting circuits. Quantum electrodynamics af superconducting circuits and superconducting quantum bits. Hybrid quantum systems such as quantum optomechanics and quantum acoustics.

Intended learning outcomes

After finished course the student should be able to:

  • apply basic theories af quantum transport
  • formulate and analyze lumped-element model for quantum circuits explain basic concepts af quantum-limited measurement

Course disposition

This is a PhD version af the course SK2906 Quantum Circuits. There will be 14 lectures, Weekly homework problems, and one oral exam. PhD students will be required ta perform same extra tasks that go beyond with the Masters students, but the lectures will be the same.

Literature and preparations

Specific prerequisites

Masters in applied physics ar Masters in electrical engineering with sufficient background in quantum physics.

Recommended prerequisites

Completed course S!1146 Vector analysis and S11155 Theoretical physics.


Laptop computer for simulations i Python.


Various review articles and pedological articles. Lecture notes.

The course literature will be made available in the course.

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

P, F


  • TEN1 - Oral exam, 7.5 credits, grading scale: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Completion af all homework problems and passing the oral exam.

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted


Profile picture David B Haviland

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web FSK3906

Offered by

SCI/Applied Physics

Main field of study

No information inserted

Education cycle

Third cycle

Add-on studies

No information inserted


Prof. David Haviland ,

Postgraduate course

Postgraduate courses at SCI/Applied Physics