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arXiv:quant-ph/0208058 · Physics Letters A

The generalized partial transposition criterion for separability of multipartite quantum states

Kai Chen, Ling-An Wu

Published Dec 1, 2002• 104 citations
arXivHTMLPDF
DOI
10.1016/s0375-9601(02)01538-4

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The positive partial transposition (PPT) criterion and the realignment criterion constitute two of the most important criteria for detecting entanglement. The general- ized partial transposition (GPT) criterion which contains the PPT criterion and the realignment criterion as special cases, provides a necessary condition for a multipartite state to be separable. Here we extend the GPT criterion to the infinite- dimensional multipartite (bipartite) case and show that it includes multipartite (bipartite) PPT criterion and multipartite (bipartite) realignment criterion as special cases as well.