  We investigate the relation between transport properties and entanglement
between the internal (spin) and external (position) degrees of freedom in
one-dimensional discrete time quantum walks. We obtain closed-form expressions
for the long-time position variance and asymptotic entanglement of quantum
walks whose time evolution is given by any balanced quantum coin, starting from
any initial qubit and position states following $\delta$-like (local) and
Gaussian distributions. We find out that the knowledge of the limit velocity of
the walker together with the polar angle of the initial qubit provide the
asymptotic entanglement for local states, while this velocity with the quantum
coin phases give it for highly delocalized states.
