  By examining the full counting statistics of a non adiabatic pure spin pump
with particular emphasis on the second and third moments, it is shown that
incoherent or sequential transport, in contrast to coherent transport, can
change non-local spin shot noise cross-correlations from being anti-correlated
to being completely correlated, a truly counterintuitive result. The third
moment on the other hand is shown to be much more resilient and its nature
remains unaltered in incoherent transport regime. However, phenomenologically
including dephasing modifies this picture as both Shot noise and more so the
third moment are non-trivially affected. In fact non-local spin correlations
are completely positive for maximal dephasing.
