Quantum mechanics has led to some revolutionary changes in computing and information processing. Over the past decades, there has been a surge of research, mostly by physicists and computer scientists, on how quantum computers could outperform their classical counterparts. It is becoming apparent, however, that many of the problems considered have mathematical aspects, and a number of questions in combinatorics are arising as the field of quantum information theory matures. The goal of this workshop is to foster cross-collaboration among mathematicians, physicists and computer scientists, in order to explore the deep connections between quantum information and algebraic graph theory.