Groverian entanglement measure of pure quantum states with arbitrary partitions

The Groverian entanglement measure of pure quantum states of n qubits is generalized to the case in which the qubits are divided into any p≤n parties. The entanglement between these parties is evaluated numerically using an efficient parametrization. To demonstrate this measure we apply it to symmetric states such as the Greenberg-Horne-Zeiliner state and the W state. Interestingly, this measure is equivalent to an entanglement measure introduced earlier, using different considerations.