  Quantum information theory and quantum computing are theoritical basis of
quantum computers. Thanks to entanglement, quantum mechanical systems are
provisioned to realize many information processing problems faster than
classical counterparts. For example, Shor factorization algorithm, Grover
search algorithm, quantum Fourrier transformation, etc. Entanglement, is the
theoretical basis providing the expected speedups. It can be view in bipartite
or multipartite forms. In order to quantify entanglement, some measures are
defined. On the other hand, a general and accepted criterion, which can measure
the amount of entanglement of multilateral systems, has not yet been found. In
this work, we make a short review of recent research on the topic entanglement
monotones and measures with an analitical approach.
