Geometrical structure of entangled states and secant variety

Hoshang Heydari

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arXiv · quant-ph/0611144

Geometrical structure of entangled states and secant variety

Hoshang Heydari

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Abstract

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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Hoshang Heydari. 2006-11-14. Geometrical structure of entangled states and secant variety. https://arxiv.org/abs/quant-ph/0611144

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