Notes

On this page, you’ll find links to the notes I’ve written on various aspects of mathematics, quantum theory and quantum information theory.

  1. Quantum States and Channels
  2. Symmetric Extendability of Quantum States
  3. Group Theory (PDF; lecture notes based on the course PMATH 336 at the University of Waterloo in Summer 2012)
  4. Functional Analysis (PDF; lecture notes based on the course AMATH 731 at the University of Waterloo in Fall 2014)

If you suspect there are errors, please don’t hesitate to contact me. Please note that the two lecture notes posted above are incomplete to an extent and follow very closely some of the standard textbooks on the subjects. The purpose of typing the notes was to combine content from several different textbooks, add clarifying points often missing in these books, and to format the content in a manner that is (hopefully) more easy to follow.