  The Groverian entanglement measure of pure quantum states of $n$ qubits is
generalized to the case in which the qubits are divided into any $m \le n$
parties and the entanglement between these parties is evaluated. To demonstrate
this measure we apply it to general states of three qubits and to symmetric
states with any number of qubits such as the Greenberg-Horne-Zeiliner state and
the W state.
