An algebraic approach to the study of multipartite entanglement

作者：Di Martino S^*; Militello B; Messina A

来源：Journal of Russian Laser Research, 2013, 34(1): 22-32.

DOI：10.1007/s10946-013-9320-4

• entanglement
• multipartite entanglement

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.

• 出版日期2013-1