We use a specific geometric method to determine speed limits to the implementation of quantum gates in controlled quantum systems that have a specific class of constrained control functions. We achieve this by applying a recent theorem of Shen, which provides a connection between time optimal navigation on Riemannian manifolds and the geodesics of a certain Finsler metric of Randers type. We us...

There is a growing interest in the study of graphs that evolve over time. Communication networks, peer-to-peer systems, social networks, ad-hoc radio networks and the Internet are only few examples of networks that are intrinsically dynamic. In order to analyse real world phenomena from a mathematical point of view, we have to define abstract models of concrete scenarios. This introduces a natu...