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Complex multi-projective variety and entanglement
KTH, School of Information and Communication Technology (ICT), Microelectronics and Applied Physics, MAP.ORCID iD: 0000-0002-2082-9583
2005 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 38, no 14, 3203-3211 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, we will show that a vanishing generalized concurrence of a separable state can be seen as an algebraic variety called the Segre variety. This variety defines a quadric space which gives a geometric picture of separable states. For pure, bi- and three-partite states the variety equals the generalized concurrence. Moreover, we generalize the Segre variety to a general multipartite state by relating to a quadric space defined by two-by-two subdeterminants.

Place, publisher, year, edition, pages
2005. Vol. 38, no 14, 3203-3211 p.
Keyword [en]
URN: urn:nbn:se:kth:diva-14709DOI: 10.1088/0305-4470/38/14/010ISI: 000228743800015ScopusID: 2-s2.0-17044403402OAI: diva2:332750
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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Björk, Gunnar
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