  Quantum spin liquids hosting non-abelian anyons have recently experienced
renewed interest following the discovery of a variety of materials proximate to
these quantum phases. Their anyonic excitations have potential for application
to topological quantum computation, but designing logical operations with
reduced poisoning requires developing protocols to faithfully create, move and
read-out such quasiparticles. In this paper, we present one such protocol for
manipulating $Z_2$ fluxes (``visons'') of ferromagnetic and antiferromagnetic
Kitaev models perturbed by a small uniform magnetic field. Our design employs a
local driving magnetic field and can achieve high probabilities of generating
and displacing flux pairs of both the $A_z$ and $B$ phases of the model.
