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On Multipartite Pure-State Entanglement
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We show that pure states of multipartite quantum systems are multiseparable (i.e. give separable density matrices on tracing any party) if and only if they have a generalized Schmidt decomposition. Implications of this result for the quantification of multipartite pure-state entanglement are discussed. Further, as an application of the techniques used here, we show that any purification of a bipartite PPT bound entangled state is tri-inseparable, i.e. has none of its three bipartite partial traces separable.
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Cited by 2 Pith papers
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Separability from Multipartite Measures
Third-order negativity is a necessary and sufficient criterion for full separability of tripartite pure states and extends to mixed states and qudits.
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Separability from Multipartite Measures
Third-order negativity provides a necessary and sufficient criterion for full separability of tripartite pure states, with generalizations to mixed states, qudits, and an application to conformal field theory.
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