1307.3541 (Marcus Huber et al.)

The entropy vector formalism and the structure of multidimensional
entanglement in multipartite systems    [PDF]

Marcus Huber, Martí Perarnau-Llobet, Julio I. de Vicente

We review and generalize the recently introduced framework of entropy vectors for detecting and quantifying genuine multipartite entanglement in high dimensional multicomponent quantum systems. We show that these ideas can be extended to discriminate among other forms of multipartite entanglement. In particular, we develop methods to test whether density matrices are: decomposable, i.e. separable with respect to certain given partitions of the subsystems; k-separable, i.e. separable with respect to k-partitions of the subsystems; k-partite entangled, i.e. there is no entanglement among subsets of more than k parties. We also discuss how to asses the dimensionality of entanglement in all these cases.

View original: http://arxiv.org/abs/1307.3541