  We provide an algorithm that factorizes one-dimensional quantum walks into a
protocol of two basic operations: A fixed conditional shift that transports
particles between cells and suitable coin operators that act locally in each
cell. This allows to tailor quantum walk protocols to any experimental setup by
rephrasing it on the cell structure determined by the experimental limitations.
We give the example of a walk defined on a qutrit chain compiled to run an a
qubit chain.
