On Multipartite Pure-State Entanglement

Details On Multipartite Pure-State Entanglement On Multipartite Pure-State Entanglement

1998-11-30

arxiv.org/abs/quant-ph/9811091v4

Phys.Rev. A59 (1999) 3336

Physics

Quantum Physics

8 Pages ReVTeX, 4 figures (eps); v2: Revised terminology, added two references and other minor changes; v3: Minor changes, add

Scientific paper

10.1103/PhysRevA.59.3336

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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