  We propose an alternative definition of an N-dimensional coined quantum walk
by generalizing a recent proposal [Di Franco et al., Phys. Rev. Lett. 106,
080502 (2011)]. This N-dimensional alternate quantum walk, AQW_N, in contrast
with the standard definition of the N-dimensional quantum walk, QW_N, requires
only a coin-qubit. We discuss the quantum diffusion properties of AQW_2 and
AQW_3 by analyzing their dispersion relations that reveal, in particular, the
existence of diabolical points. This allows us to highlight interesting
similarities with other well known physical phenomena. We also demonstrate that
AQW_3 generates genuine multipartite entanglement. Finally we discuss the
implementability of AQW_N.
