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arXiv · 1204.2227

An algebraic approach to the study of multipartite entanglement

S. Di Martino·B. Militello·A. Messina
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Abstract

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

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S. Di Martino, B. Militello, A. Messina. 2012-04-10. An algebraic approach to the study of multipartite entanglement. https://arxiv.org/abs/1204.2227

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