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We review some parametric families of 2-qubit states for which concurrenceand maximal singlet fraction (MSF) have different and even opposite behaviour.For states considered in this work, maximal achievable fidelity (MAF), aquantity derived by Verstraete and Verschelde in 2003, shows a better agreementwith concurrence and complies with important features required to be considereda good entanglement measure.

Maximal singlet fraction vs. maximal achievable fidelity as proper entanglement measures