  We present here a compact scheme for the generation of high-dimensional
states of light encoded in the transverse path variable of photons that carry
orbital angular momentum. We use a programmable spatial light modulator in
phase configuration to create correlations between these two spatial degrees of
freedom. With our setup we are able to control, independently, the relative
phases and amplitudes of the path superposition in addition to the topological
charge of each path. Moreover, we engineer correlations that emulate bipartite
quantum states of dimensions $d\times m$. Experimental results from the
characterization of different generated states of dimensions up to $9\times 5$
are in excellent agreement with the numerical simulations. Fidelity with the
target state is, for all cases, above $95\%$.
