Multipartite-entanglement monotones and polynomial invariants

URN to cite this document:: urn:nbn:de:bvb:355-epub-316751
DOI to cite this document:: 10.5283/epub.31675

Eltschka, Christopher ; Bastin, Thierry ; Osterloh, Andreas ; Siewert, Jens

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Date of publication of this fulltext: 24 Apr 2015 08:22

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Abstract

We show that a positive homogeneous function that is invariant under determinant-1 stochastic local operations and classical communication (SLOCC) transformations defines an N-qubit entanglement monotone if and only if the homogeneous degree is not larger than 4. We then describe a common basis and formalism for the N-tangle and other known invariant polynomials of degree 4. This allows us to ...