  In the realm of quantum computing, circuit description languages represent a
valid alternative to traditional QRAM-style languages. They indeed allow for
finer control over the output circuit, without sacrificing flexibility nor
modularity. We introduce a generalization of the paradigmatic lambda-calculus
Proto-Quipper-M, itself modeling the core features of the quantum circuit
description language Quipper. The extension, called Proto-Quipper-K, is meant
to capture a very general form of dynamic lifting. This is made possible by the
introduction of a rich type and effect system in which not only computations,
but also the very types are effectful. The main results we give for the
introduced language are the classic type soundness results, namely subject
reduction and progress.
