  These notes are from a series of lectures given at the Universidad de Los
Andes in Bogot\'a, Colombia on some topics of current interest in quantum
information. While they aim to be self-contained, they are necessarily
incomplete and idiosyncratic in their coverage. For a more thorough
introduction to the subject, we recommend one of the textbooks by Nielsen and
Chuang or by Wilde, or the lecture notes of Mermin, Preskill or Watrous. Our
notes by contrast are meant to be a relatively rapid introduction into some
more contemporary topics in this fast-moving field. They are meant to be
accessible to advanced undergraduates or starting graduate students.
