Complex multi-projective variety and entanglement
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
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.
IdentifiersURN: urn:nbn:se:kth:diva-14709DOI: 10.1088/0305-4470/38/14/010ISI: 000228743800015ScopusID: 2-s2.0-17044403402OAI: oai:DiVA.org:kth-14709DiVA: diva2:332750
QC 201005252010-08-052010-08-05Bibliographically approved