FEO3340 Quantum Information Theory, 2017



The aim of this course is to give an introduction to quantum information theory. The course will also present fundamental aspects of quantum computation.

The area of quantum computing and information is slowly moving from fundamental basic research to technology implemented in real life. It is entirely fair to assume that information technology based on quantum computation and information processing will play an important, and perhaps even crucial, role in the future. This motivates including a course that looks into the foundations and some of the potential applications in the EE doctoral program.

The course is registered as FEO3240 and is worth 12 cu's.

Teacher: Mikael Skoglund

Material

The main text for the course is Quantum Computation and Quantum Information by Nielsen and Chuang, Cambridge Univ. Press 2000 & 2010. The book M. M. Wilde, Quantum Information Theory, Cambridge Univ. Press 2013 & 2017 is frequently used as a complement.

Other recommended texts include: M. Hayashi, Quantum Information, Springer 2006; A. S. Holevo, Statistical Structure of Quantum Theory, Springer 2001; D. Petz, Quantum Information Theory and Quantum Statistics, Springer 2008; S. P. Gudder, Quantum Probability, Academic Press 1988. In addition, these lecture notes are a nice introduction to the topic in general. (For books published by Springer, note that KTH has access to Springer Link via the library website.)

Required Background

Analysis, linear algebra and probability at the level of EE research studies. Some background in information theory, e.g. FEO3210, is useful but not necessary.

All meetings are held in "SIP's seminar room," OV 10 floor 3, at 9:30-12:00 if not stated otherwise.

Preliminary Schedule 2017

  • Lecture 1 (March 10): The mathematical description of quantum mechanics
  • Lecture 2 (March 24): Quantum mechanics and quantum bits
  • Lecture 3 (March 31): Composite systems and entanglement
  • Lecture 4 (April 7): The quantum density operator
  • Lecture 5 (April 21): Quantum noise and quantum operations
  • Lecture 6 (April 28): Distance and entropy measures
  • Lecture 7 (May 5): Compression
  • Lecture 8 (May 12): Information over noisy quantum channels
  • Lecture 9 (May 19): Quantum error-correction coding
  • Lecture 10 (June 2): Quantum error-correction coding
  • Lecture 11 (June 16): Quantum secrecy
  • Lecture 12 (July 4): Quantum computation

Each lecture will be a 3 hours meeting, where the first 1.5 hours are a lecture, in seminar format, and where the second 1.5 hours are a ticking session to go through the homework problems assigned in the previous meeting.

Downloads

Slides, HW's etc. will be posted here.