  In this short overview, we start with the basics of quantum computing,
explaining the difference between the quantum and the classical control
paradigms. We give an overview of the quantum control line of research within
the lambda calculus, ranging from untyped calculi up to categorical and
realisability models. This is a summary of the last 10+ years of research in
this area, starting from Arrighi and Dowek's seminal work until today.

Logic in Computer Science