  Motivated by the ability of triangular spin ladders to implement quantum
information processing, we propose a type of such systems whose Hamiltonian
includes the XX Heisenberg interaction on the rungs and DzyaloshinskiiMoriya
(DM) coupling over the legs. In this work, we discuss how tuning the magnetic
interactions between elements of a nanomagnetic cell of a triangular ladder
which contains four qubits influences on the dynamical behavior of entanglement
shared between any pairs of the system. In this work, we make use of
concurrence for monitoring entanglement. It is realized that the generation of
quantum W states is an important feature of the present model when the system
evolves unitarily with time. In general, coincidence with the emergence of W
states, the concurrences of all pairs are equal to $N/2$, where N is the number
of system's qubits. We also obtain the precise relationship between the
incidence of such states and the value of DM interaction as well as the time of
entanglement transfer. Finally, by studying the two-point quantum correlations
and expectation values of different spin variables, we find that xx and yy
correlations bring the entanglement to a maximum value for W states, whereas
for these states, zz correlation between any pairs completely quenches. Our
results reveal that although $S^{tot}_{z}$ does not commute with the system's
Hamiltonian, its expectation value remains constant during time evolution which
is a generic property of quantum W states.
