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Multipartite-entanglement monotones and polynomial invariants

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Eltschka, Christopher ; Bastin, Thierry ; Osterloh, Andreas ; Siewert, Jens
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Date of publication of this fulltext: 24 Apr 2015 08:22


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 ...


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