Comments on “Multipartite Entanglement in Four-qubit Graph States”

The following comments are based on the article by M. Jafarpour and L. Assadi [Eur. Phys. J. D 70, 62 (2016), doi:10.1140/epjd/e2016-60555-5] which by means of Scott measure (or generalized Meyer- Wallach measure) the entanglement quantity of four-qubit graph states has been calculated. We are to reveal that the Scott measure ( ) m Q nominates limits for m which would prevent us from calculating 3 Q in four-qubit system. Incidentally in a counterexample we will confirm as it was recently concluded in the mentioned article, the 2 Q quantity is not necessarily always greater than 3 Q in all the graph states.