  We study a 2-D disordered time-discrete quantum walk based on 1-D
`generalized elephant quantum walk' where an entangling coin operator is
assumed and which paves the way to a new set of properties. We show that
considering a given disorder in one direction, it is possible to control the
degree of spreading and entanglement in the other direction. This observation
helps assert that the random quantum walks of this ilk serve as a controllable
decoherence channel with the degree of randomness being the tunable parameter
and highlight the role of dimensionality in quantum systems regarding
information and transport.
