  We firstly investigate the multipartite entanglement features of the quantum
states, including the iteration states achieved by repeated application of
Grover iteration and the Oracle ones into which the above iteration states
evolve by applying single Oracle operation, employed in Grover's search
algorithm by means of the separable degree and the entanglement measure. Then
we give the quantitative and qualitative descriptions of the entanglement
dynamics in Grover's search algorithm. Our results show that for most instances
(i) the separable degrees of these states and ranges of their maximum Schmidt
numbers are invariable by following the dynamics of Grover's search algorithm;
(ii) the dynamics of Grover's search algorithm is almost "filled" by the fully
entangled states.
