  The interaction between a superconducting vortex in a type II superconducting
film (SC) and a ferromagnet (FM) with out-of-plane magnetization is
investigated theoretically within the London approximation. The dependence of
the interaction energy on the FM-vortex distance, film thickness and different
geometries of the magnetic structures: disk, annulus(ring), square and triangle
are calculated. Analytic expressions and vectorplots of the current induced in
the SC due to the presence of the FM are presented. For a FM disk with a
cavity, we show that different local minima for the vortex position are
possible, enabling the system to be suitable to act as a qubit. For FMs with
sharp edges, like e.g. for squares and triangles, the vortex prefers to enter
its equilibrium position along the corners of the magnet.
