On Multipartite Pure-State Entanglement
量子物理
2009-10-31 v4
摘要
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.
引用
@article{arxiv.quant-ph/9811091,
title = {On Multipartite Pure-State Entanglement},
author = {Ashish V. Thapliyal},
journal= {arXiv preprint arXiv:quant-ph/9811091},
year = {2009}
}
备注
8 Pages ReVTeX, 4 figures (eps); v2: Revised terminology, added two references and other minor changes; v3: Minor changes, added two references, added author's middle initial; v4: One footnote removed