Phys. Rev. A 59, 3336–3342 (1999)Multipartite pure-state entanglementReceived 24 December 1998; published in the issue dated May 1999 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-bound entangled state having a positive partial transpose is tri-inseparable, i.e., has none of its three bipartite partial traces separable. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.59.3336
DOI:
10.1103/PhysRevA.59.3336
PACS:
03.67.-a
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