Linked below is the first draft of a book that began as a set of course notes for a graduate course on the theory of quantum information that I have taught several times at the University of Waterloo.

As this is a first draft, I expect that there will be errors—and will be appreciative of them being brought to my attention. If you notice or suspect an error, please let me know by email (to the address described on my home page).

Last update: September 12, 2016.

Entire book (standard layout with hyperlinks) [pdf]
Entire book (double pages for printing, no hyperlinks) [pdf]
Individual chapters (standard layout, no hyperlinks)
Front matter [pdf]
Chapter 1 – Mathematical preliminaries [pdf]
Chapter 2 – Basic notions of quantum information [pdf]
Chapter 3 – Similarity and distance among states and channels [pdf]
Chapter 4 – Unital channels and majorization [pdf]
Chapter 5 – Quantum entropy and source coding [pdf]
Chapter 6 – Bipartite entanglement [pdf]
Chapter 7 – Permutation invariance and unitarily invariant measures [pdf]
Chapter 8 – Quantum channel capacities [pdf]
Back matter [pdf]
Individual chapters (double pages, no hyperlinks)
Front matter [pdf]
Chapter 1 – Mathematical preliminaries [pdf]
Chapter 2 – Basic notions of quantum information [pdf]
Chapter 3 – Similarity and distance among states and channels [pdf]
Chapter 4 – Unital channels and majorization [pdf]
Chapter 5 – Quantum entropy and source coding [pdf]
Chapter 6 – Bipartite entanglement [pdf]
Chapter 7 – Permutation invariance and unitarily invariant measures [pdf]
Chapter 8 – Quantum channel capacities [pdf]
Back matter [pdf]