  Out-of time-ordered correlators (OTOC) have recently attracted significant
attention from the physics of many-body systems, to quantum black-holes, with
an exponential growth of the OTOC indicating quantum chaos. Here we consider
OTOC in the context of coined discrete quantum walks, a very well studied model
of quantization of classical random walks with applications to quantum
algorithms. Three separate cases of operators, variously localized in the coin
and walker spaces, are discussed in this context and it is found that the
approximated behavior of the OTOCs is well described by simple algebraic
functions in all these three cases with different time scale of growth. The
quadratic increase of OTOC signals the absence of quantum chaos in these
simplest forms of quantum walks.
