Estimating Parameterized Entanglement Measure

The parameterized entanglement monotone, the $q$-concurrence, is also a reasonable parameterized entanglement measure. By exploring the properties of the $q$-concurrence with respect to the positive partial transposition and realignment of density matrices, we present tight lower bounds of the $q$-concurrence for arbitrary $q⩾2$. Detailed examples are given to show that the bounds are better than the previous ones.