QUANTUM INFORMATION/QUANTUM COMPUTING

The course starts with a zoom meeting on March 24 (2021), and will be given at-a-distance via zoom and mail. This is not necessarily a bad thing. My experience from last year is that this is in some ways better for a master's course than is the usual lecture based format. The teaching will be centred on hand-in exercises done by you, and detailed comments on the same made by me. There will not be lectures in the usual sense, but there are complete lecture notes and there will be zoom meetings for discussions and questions.

There will be a zoom meeting every Wednesday and Friday at 13:15. A more detailed course program is here:
  • Program
  • Updated March 26. An additional update is that it now seems to be clear that there will be no lab session.

    Lecture notes are here:
  • Notes for the course
  • Updated March 22. There may be further updates. Some extra remarks that I made over zoom include an apology for the early pages of the notes, an alternative way of looking at the Schmidt decomposition, and some remarks about how to handle tensor products .

    There is a book, S. Stenholm and K.-A. Suominen: Quantum Approach to Informatics, Wiley 2005, which presents things somewhat differently from the lecture notes. I recommend you to have a thoughtful look at it.

    For supplementary reading at an easy-to-follow level see for instance J. R. Price: An Introduction to Information Theory, Dover 1980 (for classical information theory) and S. Aaronson: Quantum Computing since Democritus, Cambridge UP 2013. There are many textbooks, including B. Schumacher and M. Westmoreland: Quantum Processes, Systems and Information, Cambridge UP 2010 (introductory), D. Mermin: Quantum Computer Science, Cambridge UP 2007 (very clear-headed), M. M. Wilde: Quantum Information Theory, Cambridge UP 2013 (advanced), and M. A. Nielsen and I. L. Chuang: Quantum Computation and Quantum Information, Cambridge 2000 (advanced).

    For geometrical things, look at R. Penrose: The Emperor's New Mind (Oxford UP 1989) and R. Penrose: Shadows of the Mind (Oxford UP 1994). Especially Chapter 6 of the former and Chapter 5 of the latter. Chapter 2 of the former is a very good introduction to Turing machines.

    The manual for the lab session --- I think it should be called that --- is here:

  • here

    Finally, a few more suggestions for reading:

    The "discovery paper" for the connection between the Fisher-Rao distance and quantum mechanics is W. K. Wootters, Phys Rev D23 (1981) 357. Have a look (and when you read it, remember that this had not been explained before).

    A long story about "distinguishability measures", mostly in quantum theory, can be found in
    Chris Fuchs' PhD thesis. A more geometric way of looking at things can be found in a book I coauthored, but that's even longer.

    An interesting account of the Bell inequalities is I. Pitowsky, George Boole's 'Conditions of possible experience' and the quantum puzzle, Brit. J. Phi. Sci 45 (1994) 95. I also very much recommend the "invitation" to quantum information theory by
    Reinhard Werner .

    For the discovery of how partial transposition helps us to recognize entangled states, see
    Peres , and for the observation that this is really about positive maps that are not completely positive see Horodeccy . ("Horodeccy" is "Horodecki" in Polish plural form.)