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An Algebraic Approach To The Study of Multipartite Entanglement

  • Autori: Di Martino, S.; Militello, B.; Messina, A.
  • Anno di pubblicazione: 2013
  • Tipologia: Articolo in rivista (Articolo in rivista)


We introduce a simple algebraic approach to the study of multipartite entanglement for pure states together with a class of suitable functionals able to detect the entanglement. On this basis, we reproduce some known results. Indeed, by investigating the properties of the introduced functionals, we show that a subset of such class is strictly connected to the purity. Moreover, we provide a direct and basic solution to the problem of simultaneous maximization of three appropriate functionals for three-qubit states, confirming that the simultaneous maximization of the entanglement for all possible bipartitions is compatible only with the structure of the GHZ states.