Abstract
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.
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Manuscript submitted by the authors in English on December 4, 2012.
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Di Martino, S., Militello, B. & Messina, A. An algebraic approach to the study of multipartite entanglement. J Russ Laser Res 34, 22–32 (2013). https://doi.org/10.1007/s10946-013-9320-4
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DOI: https://doi.org/10.1007/s10946-013-9320-4