Revised geometric measure of entanglement

We present a revised geometric measure of entanglement (RGME) which is just certain generalization of geometric measure of entanglement (GME). The revised version is an entanglement monotone. Some useful inequalities about RGME are deduced. For example, we give the formulae of RGME for the two-parameter class of states in a 2 x n quantum system, the two particles' high dimensional maximally entangled mixed state, the isotropic state including the n-particle d-level case and two multipartite bound entangled states. The results show there is a relation E-tildesin2 ≤ Ere, and then RGME is an appropriate measure of entanglement