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:
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
for the early pages of the notes, an alternative way of looking at the
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
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
The manual for the lab session --- I think it should be called that --- is here:
Finally, a few more suggestions for reading:
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
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
, 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.)