Entropy vector formalism and the structure of multidimensional entanglement in multipartite systems

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

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Abstract

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; or k-partite entangled, i.e., there is entanglement among a subset of at least k parties. We also discuss how to assess the dimensionality of entanglement in all these cases. © 2013 American Physical Society.
Original languageEnglish
Article number042328
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume88
Issue number4
DOIs
Publication statusPublished - 21 Oct 2013

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    Huber, M., Perarnau-Llobet, M., & De Vicente, J. I. (2013). Entropy vector formalism and the structure of multidimensional entanglement in multipartite systems. Physical Review A - Atomic, Molecular, and Optical Physics, 88(4), [042328]. https://doi.org/10.1103/PhysRevA.88.042328