Workshop on Quantum Graphs

A Quantum graph is determined by a linear operator acting on a finite-dimensional C*-algebra satisfying certain properties. The C*-algebra is interpreted as an algebra of functions over some non-commutative space; the linear operator and the certain properties represent a non-commutative (quantum) analogue of a graph adjacency matrix. Note that there is also a different, more established notion of a quantum graph in the literature, which is unrelated to this one and does not lie in the focus of this conference. For more (hopefully all) the literature on our quantum graphs see the References page.

Quantum graphs were introduced recently in the context of quantum communication, but it turns out that the definition exactly corresponds the idea of quantizing function algebras typical for quantum groups and non-commutative geometry. The research in this area is at a very early stage, so it provides lots of directions for further study and promises discovering new interesting links between quantum groups and quantum information theory. On the other hand, a considerable amount of work has been done already. Therefore, we think that now is the right time to have a first conference specifically dedicated to quantum graphs. Our goal is to gather people that are interested in this fascinating topic and would like to push our understanding in this area further.

We invite also participants who are not yet familiar with quantum graphs. In that respect, we will have two introductory talks explaining quantum graphs on Monday morning.

The registration is open until 30 October.