Geometrical structure of entangled states and secant variety

Details Geometrical structure of entangled states and secant variety Geometrical structure of entangled states and secant variety

2006-11-14

arxiv.org/abs/quant-ph/0611144v1

Quantum Information Processing 7(1) (2008) 43-50

Physics

Quantum Physics

7 pages

Scientific paper

We show that the secant variety of the Segre variety gives useful information
about the geometrical structure of an arbitrary multipartite quantum system. In
particular, we investigate the relation between arbitrary bipartite and
three-partite entangled states and this secant variety. We also discuss the
geometry of an arbitrary general multipartite state.

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