  This work focuses on the entanglement quantification. Specifically, we will
go over the properties of entanglement that should be satisfied by a "good"
entanglement measure. We will have a look at some of the propositions of the
entanglement measures that have been made over the years. Then we will be ready
to discuss the proposals of the mathematical representations of another
property of entanglement, called monogamy. We will introduce some definitions
of monogamous entanglement measures that were proposed and compare them. As an
original observation of mine (see page 15, Proof 1), I will also prove that the
inequalities (23) and (24) from [C. Lancien, S. Di Martino, M. Huber, M. Piani,
G. Adesso and A. Winter Phys. Rev. Lett., 117:060501 (2016).] automatically
show that the entanglement of formation and the regularised entropy of
entanglement are monogamous entanglement measures in the sense of the
definitions that was given in [G. Gour and G. Yu, Quantum 2, 81 (2018).].
